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sinx+sin2x+sin3x+...+sin nx=sin((n+1)/2)x .((sin nx)/2) / sin(x/2)
1^4+2^4+3^4+..........+n^4 =n(n+1)(2n+1)+(3n^2+3n-1)/30. (whole divided by 30)
Prove that 1.2 + 2.3 + 3.4 +..............n(n+1) = 1/3 n (n+1)(n+2)
sinx + sin3x + ..............+ sin(2n-1)x = sin^2 nx / sinx
prove by PMI
prove by using PMI that 4 raise to n + 15n - 1 is divisible by 9 .
Prove that 2.7n + 3.5n - 5 is divisible by 24 for all n belongs to N. [ please explain with steps]
1 sqare + 2 square + 3 square +.............+n square >n cube +3 . prove it by mathematical induction.
Prove that x2n-y2n is divisible by x+y?
Prove that n(n+1)(n+5) is a multiple of 3
bY PMI prove n(n+1)(2n+1) is divisible by 6
Prove by PMI
1) a+(a+d)+(a+2d)+ ......[a+(n-1)d] = n/2 [2a+(n-1)d], n E N.
2) n(n+1)(n+5) is divisible by 6 for all n E N.
3) 9 raised to n - 8n - 1 is a multiple of 64 for all n E N.
Prove that n(n+1)(n+2) is divisible by 6
Using PMI Prove that 1^2 + 2^2 + ......... + n^2 n^3/3
find the equation of parabola whose focus is (1,1) and tangent at the vertex is x + y = 1
using induction, prove that 10n + 3.4n+2 + 5 is divisible by 9
Prove that 11n+2 + 122n+1 is divisible by 133 for all n belongs to N .
P.T by principle of mathematical induction
Prove: 52n-1 is divisible by 24 for all n N
Using PMI, prove that
52n+2-24n-25 is divisible by 576 for n belongs to N.
Prove the following
1.3 + 3.5 + 5.7 + ..... +(2n - 1) (2n + 1 ) =n( 4n square + 6n -1)/2 plz explain briefly in a simple method
using principle of mathematical induction prove that, 12 + 22 +....+ n2 (n3/3) for all n belonging to natural numbers
Q. Prove that 1.3+2.4+3.5+....+n(n+2) = 1/6n (n+1) (2n+7),V nEN.
how to split a cubic polynomial like k3+6k2+9k+4??
Prove that 2.7n + 3.5n-5 is divisible by 24, for all n belongs to N....Plzzz dnt tell to refer textbook as frm dat also its not clear to me plzzzzzz answer it as soon as possible.....
for every positive integer n, prove that 7^n- 3^n is divisible by 4 plz expertz explain me how to solve dis step by step
Prove by induction:
1/1.2 + 1/2.3 + 1/3.4 + ..... to n terms = n/(n+1)
9n - 8n -1 is a multiple of 8
1/2x5 + 1/5x8 + 1/8x11 + ....................+ 1/(3n-1)(3n+2) = n / 6n+4
using mathematical induction
7+ 77+ 777+ ..............+ 77.........7 = 7/81 (10to the power n+1 -9n-10)
1 / 1.2.3 + 1 / 2.3.4 + 1 / 3.4.5 + …….. + 1 / n (n+1) (n+2) = n (n+3) / 4 (n+1) (n+2) ? using principle of mathematical induction prove the following for all n E N ?
for every positive integer n.prove that 7n-3n is divisible by 4
Prove that n2 + n is even , where n is natural number.?
by PMI prove , 1/1.3 + 1/3.5+ 1/5.7+.......... 1/(2n-1)(2n+1) = n/(2n+1)
3.6 +6.9+9.12+....+3n(3n+3) = 3n(n+1) (n+2)
1/2*5+ 1/5*8 + 1/8*11 +.......................+
prove by ibduction that the sum Sn=n3+3n2+5n+3 is divisible by 3 for all nEN
7 divides 23n-1
By using principle of mathematical induction, prove that for all n element of N:
3^2n+2 - 8n - 9 is divisible by 64.
n(n+1)(n+5) is divisible by 6 for all n belongs to natural numbers
in drilling worlds deepest hole it was found that the temperature T in degree celcius at x km below the surface of the earth was =30+25(x - 3), 3 less than x less than 15. at what depth will the temperature lie b/w 200oC and 300oC.
11 power n+2 + 12 power 2n+1 is divisible by 133
Prove that 1/2 tan (x/2)+1/4tan(x/4)+...+(1/2n)tan (x/2n)=(1/2n)cot(x/2n) - cotx for all n (- N and 0<x<(pi/2).
Prove by induction that (2n+7)<(n+3)2is true
using mathematical induction prove that n(n+1)(n+2) is divisible by 6.
Find all positive integers n such that 32n + 3n2 + 7 is a perfect square.
what is principle of mathamatical induction
7n-3n is a divisible by 4.
please solve this
PROVE BY M.I (41)n-(14) is multiple of 27
Prove the following by using the principle of mathematical induction for all
(2n+7) < (n+ 3)2
can any pls explain this question in detail??? cuz i can't get it
prove that 2n is greater than n for all positive integers n.
this is example 2 from the ncert maths text book.
plzz...answer soon....i dint get the last step.
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