Mister Exam

Other calculators

Sum of series/ sin(n*x)

Sum of series sin(n*x)


∑
=

The solution

You have entered [src] 
 100          
 __           
 \ `          
  )   sin(n*x)
 /_,          
n = 1
∑n=1100sin⁡(nx)\sum_{n=1}^{100} \sin{\left(n x \right)} 
Sum(sin(n*x), (n, 1, 100))
The answer [src] 
sin(x) + sin(2*x) + sin(3*x) + sin(4*x) + sin(5*x) + sin(6*x) + sin(7*x) + sin(8*x) + sin(9*x) + sin(10*x) + sin(11*x) + sin(12*x) + sin(13*x) + sin(14*x) + sin(15*x) + sin(16*x) + sin(17*x) + sin(18*x) + sin(19*x) + sin(20*x) + sin(21*x) + sin(22*x) + sin(23*x) + sin(24*x) + sin(25*x) + sin(26*x) + sin(27*x) + sin(28*x) + sin(29*x) + sin(30*x) + sin(31*x) + sin(32*x) + sin(33*x) + sin(34*x) + sin(35*x) + sin(36*x) + sin(37*x) + sin(38*x) + sin(39*x) + sin(40*x) + sin(41*x) + sin(42*x) + sin(43*x) + sin(44*x) + sin(45*x) + sin(46*x) + sin(47*x) + sin(48*x) + sin(49*x) + sin(50*x) + sin(51*x) + sin(52*x) + sin(53*x) + sin(54*x) + sin(55*x) + sin(56*x) + sin(57*x) + sin(58*x) + sin(59*x) + sin(60*x) + sin(61*x) + sin(62*x) + sin(63*x) + sin(64*x) + sin(65*x) + sin(66*x) + sin(67*x) + sin(68*x) + sin(69*x) + sin(70*x) + sin(71*x) + sin(72*x) + sin(73*x) + sin(74*x) + sin(75*x) + sin(76*x) + sin(77*x) + sin(78*x) + sin(79*x) + sin(80*x) + sin(81*x) + sin(82*x) + sin(83*x) + sin(84*x) + sin(85*x) + sin(86*x) + sin(87*x) + sin(88*x) + sin(89*x) + sin(90*x) + sin(91*x) + sin(92*x) + sin(93*x) + sin(94*x) + sin(95*x) + sin(96*x) + sin(97*x) + sin(98*x) + sin(99*x) + sin(100*x)
sin⁡(x)+sin⁡(2x)+sin⁡(3x)+sin⁡(4x)+sin⁡(5x)+sin⁡(6x)+sin⁡(7x)+sin⁡(8x)+sin⁡(9x)+sin⁡(10x)+sin⁡(11x)+sin⁡(12x)+sin⁡(13x)+sin⁡(14x)+sin⁡(15x)+sin⁡(16x)+sin⁡(17x)+sin⁡(18x)+sin⁡(19x)+sin⁡(20x)+sin⁡(21x)+sin⁡(22x)+sin⁡(23x)+sin⁡(24x)+sin⁡(25x)+sin⁡(26x)+sin⁡(27x)+sin⁡(28x)+sin⁡(29x)+sin⁡(30x)+sin⁡(31x)+sin⁡(32x)+sin⁡(33x)+sin⁡(34x)+sin⁡(35x)+sin⁡(36x)+sin⁡(37x)+sin⁡(38x)+sin⁡(39x)+sin⁡(40x)+sin⁡(41x)+sin⁡(42x)+sin⁡(43x)+sin⁡(44x)+sin⁡(45x)+sin⁡(46x)+sin⁡(47x)+sin⁡(48x)+sin⁡(49x)+sin⁡(50x)+sin⁡(51x)+sin⁡(52x)+sin⁡(53x)+sin⁡(54x)+sin⁡(55x)+sin⁡(56x)+sin⁡(57x)+sin⁡(58x)+sin⁡(59x)+sin⁡(60x)+sin⁡(61x)+sin⁡(62x)+sin⁡(63x)+sin⁡(64x)+sin⁡(65x)+sin⁡(66x)+sin⁡(67x)+sin⁡(68x)+sin⁡(69x)+sin⁡(70x)+sin⁡(71x)+sin⁡(72x)+sin⁡(73x)+sin⁡(74x)+sin⁡(75x)+sin⁡(76x)+sin⁡(77x)+sin⁡(78x)+sin⁡(79x)+sin⁡(80x)+sin⁡(81x)+sin⁡(82x)+sin⁡(83x)+sin⁡(84x)+sin⁡(85x)+sin⁡(86x)+sin⁡(87x)+sin⁡(88x)+sin⁡(89x)+sin⁡(90x)+sin⁡(91x)+sin⁡(92x)+sin⁡(93x)+sin⁡(94x)+sin⁡(95x)+sin⁡(96x)+sin⁡(97x)+sin⁡(98x)+sin⁡(99x)+sin⁡(100x)\sin{\left(x \right)} + \sin{\left(2 x \right)} + \sin{\left(3 x \right)} + \sin{\left(4 x \right)} + \sin{\left(5 x \right)} + \sin{\left(6 x \right)} + \sin{\left(7 x \right)} + \sin{\left(8 x \right)} + \sin{\left(9 x \right)} + \sin{\left(10 x \right)} + \sin{\left(11 x \right)} + \sin{\left(12 x \right)} + \sin{\left(13 x \right)} + \sin{\left(14 x \right)} + \sin{\left(15 x \right)} + \sin{\left(16 x \right)} + \sin{\left(17 x \right)} + \sin{\left(18 x \right)} + \sin{\left(19 x \right)} + \sin{\left(20 x \right)} + \sin{\left(21 x \right)} + \sin{\left(22 x \right)} + \sin{\left(23 x \right)} + \sin{\left(24 x \right)} + \sin{\left(25 x \right)} + \sin{\left(26 x \right)} + \sin{\left(27 x \right)} + \sin{\left(28 x \right)} + \sin{\left(29 x \right)} + \sin{\left(30 x \right)} + \sin{\left(31 x \right)} + \sin{\left(32 x \right)} + \sin{\left(33 x \right)} + \sin{\left(34 x \right)} + \sin{\left(35 x \right)} + \sin{\left(36 x \right)} + \sin{\left(37 x \right)} + \sin{\left(38 x \right)} + \sin{\left(39 x \right)} + \sin{\left(40 x \right)} + \sin{\left(41 x \right)} + \sin{\left(42 x \right)} + \sin{\left(43 x \right)} + \sin{\left(44 x \right)} + \sin{\left(45 x \right)} + \sin{\left(46 x \right)} + \sin{\left(47 x \right)} + \sin{\left(48 x \right)} + \sin{\left(49 x \right)} + \sin{\left(50 x \right)} + \sin{\left(51 x \right)} + \sin{\left(52 x \right)} + \sin{\left(53 x \right)} + \sin{\left(54 x \right)} + \sin{\left(55 x \right)} + \sin{\left(56 x \right)} + \sin{\left(57 x \right)} + \sin{\left(58 x \right)} + \sin{\left(59 x \right)} + \sin{\left(60 x \right)} + \sin{\left(61 x \right)} + \sin{\left(62 x \right)} + \sin{\left(63 x \right)} + \sin{\left(64 x \right)} + \sin{\left(65 x \right)} + \sin{\left(66 x \right)} + \sin{\left(67 x \right)} + \sin{\left(68 x \right)} + \sin{\left(69 x \right)} + \sin{\left(70 x \right)} + \sin{\left(71 x \right)} + \sin{\left(72 x \right)} + \sin{\left(73 x \right)} + \sin{\left(74 x \right)} + \sin{\left(75 x \right)} + \sin{\left(76 x \right)} + \sin{\left(77 x \right)} + \sin{\left(78 x \right)} + \sin{\left(79 x \right)} + \sin{\left(80 x \right)} + \sin{\left(81 x \right)} + \sin{\left(82 x \right)} + \sin{\left(83 x \right)} + \sin{\left(84 x \right)} + \sin{\left(85 x \right)} + \sin{\left(86 x \right)} + \sin{\left(87 x \right)} + \sin{\left(88 x \right)} + \sin{\left(89 x \right)} + \sin{\left(90 x \right)} + \sin{\left(91 x \right)} + \sin{\left(92 x \right)} + \sin{\left(93 x \right)} + \sin{\left(94 x \right)} + \sin{\left(95 x \right)} + \sin{\left(96 x \right)} + \sin{\left(97 x \right)} + \sin{\left(98 x \right)} + \sin{\left(99 x \right)} + \sin{\left(100 x \right)} 
sin(x) + sin(2*x) + sin(3*x) + sin(4*x) + sin(5*x) + sin(6*x) + sin(7*x) + sin(8*x) + sin(9*x) + sin(10*x) + sin(11*x) + sin(12*x) + sin(13*x) + sin(14*x) + sin(15*x) + sin(16*x) + sin(17*x) + sin(18*x) + sin(19*x) + sin(20*x) + sin(21*x) + sin(22*x) + sin(23*x) + sin(24*x) + sin(25*x) + sin(26*x) + sin(27*x) + sin(28*x) + sin(29*x) + sin(30*x) + sin(31*x) + sin(32*x) + sin(33*x) + sin(34*x) + sin(35*x) + sin(36*x) + sin(37*x) + sin(38*x) + sin(39*x) + sin(40*x) + sin(41*x) + sin(42*x) + sin(43*x) + sin(44*x) + sin(45*x) + sin(46*x) + sin(47*x) + sin(48*x) + sin(49*x) + sin(50*x) + sin(51*x) + sin(52*x) + sin(53*x) + sin(54*x) + sin(55*x) + sin(56*x) + sin(57*x) + sin(58*x) + sin(59*x) + sin(60*x) + sin(61*x) + sin(62*x) + sin(63*x) + sin(64*x) + sin(65*x) + sin(66*x) + sin(67*x) + sin(68*x) + sin(69*x) + sin(70*x) + sin(71*x) + sin(72*x) + sin(73*x) + sin(74*x) + sin(75*x) + sin(76*x) + sin(77*x) + sin(78*x) + sin(79*x) + sin(80*x) + sin(81*x) + sin(82*x) + sin(83*x) + sin(84*x) + sin(85*x) + sin(86*x) + sin(87*x) + sin(88*x) + sin(89*x) + sin(90*x) + sin(91*x) + sin(92*x) + sin(93*x) + sin(94*x) + sin(95*x) + sin(96*x) + sin(97*x) + sin(98*x) + sin(99*x) + sin(100*x)

    Examples of finding the sum of a series

    © Mister Exam – Calculator