Question

Finding $\sum_{i=1}^{n-1}\frac1{\cos a_i \cos a_{i+1}}$, where $a_1$, $a_2$, $\ldots$, $a_n$ form an arithmetic progression

score 120 · Answer 1 · 2020-06-19 16:18:01

120

Views

Finding $\sum_{i=1}^{n-1}\frac1{\cos a_i \cos a_{i+1}}$, where $a_1$, $a_2$, $\ldots$, $a_n$ form an arithmetic progression

Published on 19 Jun 2020 - 16:18

score 265 · Answer 2 · 2020-06-21 04:23:36

265

Views

General method for finding summation of series with $n^{th}$ term difference in AP

Published on 21 Jun 2020 - 4:23

score 183 · Answer 3 · 2020-06-23 15:38:40

183

Views

How can we sum up $\sin^m$ and $\cos^m$ series when the angles are in arithmetic progression?

Published on 23 Jun 2020 - 15:38

score 655 · Answer 4 · 2020-06-24 11:06:36

655

Views

Arithmetic Progression Question (involving modulus inequalities and equations)

Published on 24 Jun 2020 - 11:06

score 138 · Answer 5 · 2020-06-24 11:44:54

138

Views

Sum of binomial coefficients multiplied by terms of arithmetic series

Published on 24 Jun 2020 - 11:44

score 75 · Answer 6 · 2026-03-27 08:46:39

75

Views

I was wondering if a general identity of $\cos^{2m}(x)=\,$[in terms of] $\cos^{2m-1}$ exists?

Published on 27 Mar 2026 - 8:46

score 72 · Answer 7 · 2020-07-07 15:23:26

72

Views

Binomial theorem and logarithms

Published on 07 Jul 2020 - 15:23

score 153 · Answer 8 · 2020-07-09 18:43:04

153

Views

Solutions of biquadratic equation being successive members of arithmetic progression

Published on 09 Jul 2020 - 18:43

score 411 · Answer 9 · 2026-03-27 03:43:08

411

Views

Prove that the roots of $x^3+ax^2+bx+c=0$ form an arithmetic sequence iff $2a^3+27c=9ab$.

Published on 27 Mar 2026 - 3:43

score 54 · Answer 10 · 2020-07-14 13:29:37

54

Views

Arithmetic sequence of terms $T_k$ (as the $k^{\text{th}}$ term). $T_m=n$ and $T_n=m$, which of the following is right:

Published on 14 Jul 2020 - 13:29

score 2.7k · Answer 11 · 2020-07-15 00:00:56

2.7k

Views

Consecutive odd integers and primes

Published on 15 Jul 2020 - 0:00

score 130 · Answer 12 · 2026-03-27 05:58:08

130

Views

Infinite set of AP's that partition $\mathbb{N}$

Published on 27 Mar 2026 - 5:58

score 321 · Answer 13 · 2026-03-27 05:04:04

321

Views

Series + Number theory problem from JEE exam .

Published on 27 Mar 2026 - 5:04

score 120 · Answer 14 · 2020-07-25 20:42:57

120

Views

Find $a,b,c$ if ${(1+3+5+.....a)}+{(1+3+5+....b)}={(1+3+5+.....c)}$

Published on 25 Jul 2020 - 20:42

score 71 · Answer 15 · 2026-03-25 22:11:12

71

Views

What's the name for sequences sitting between geometric and arithmetic, i.e. whose recurrence relation is of the form $ax+b$?

Published on 25 Mar 2026 - 22:11

List Question

Finding $\sum_{i=1}^{n-1}\frac1{\cos a_i \cos a_{i+1}}$, where $a_1$, $a_2$, $\ldots$, $a_n$ form an arithmetic progression

General method for finding summation of series with $n^{th}$ term difference in AP

How can we sum up $\sin^m$ and $\cos^m$ series when the angles are in arithmetic progression?

Arithmetic Progression Question (involving modulus inequalities and equations)

Sum of binomial coefficients multiplied by terms of arithmetic series

I was wondering if a general identity of $\cos^{2m}(x)=\,$[in terms of] $\cos^{2m-1}$ exists?

Binomial theorem and logarithms

Solutions of biquadratic equation being successive members of arithmetic progression

Prove that the roots of $x^3+ax^2+bx+c=0$ form an arithmetic sequence iff $2a^3+27c=9ab$.

Arithmetic sequence of terms $T_k$ (as the $k^{\text{th}}$ term). $T_m=n$ and $T_n=m$, which of the following is right:

Consecutive odd integers and primes

Infinite set of AP's that partition $\mathbb{N}$

Series + Number theory problem from JEE exam .

Find $a,b,c$ if ${(1+3+5+.....a)}+{(1+3+5+....b)}={(1+3+5+.....c)}$

What's the name for sequences sitting between geometric and arithmetic, i.e. whose recurrence relation is of the form $ax+b$?

Trending Questions

Popular # Hahtags

Popular Questions