MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

nth Term of an AP

In a series i...

Question

In a series if (i) T_n = 2n − 1 find S₅ (ii) T_n = (−1)ⁿ then find (a) S₁ (b) S₂ (c) S₃ (d) S₄

Hence prove that S₁ = S₃ and S₂ = S₄

Open in App

Solution

(i)

(ii)

(a)

(b)

(c)

[Alternatively: ]

(d)

[Alternatively: ]

It can be seen that and ,

Suggest Corrections

thumbs-up

0

Similar questions

Q. Solubility of AgCl in water 0.01M

C a C l_{2}

, 0.01M NaCl and 0.05M

A g N O_{3}

S_{1}, S_{2}, S_{3}

S_{4}

respectively then

(K_{s p} A g C l = 10^{- 10} M^{2})

Q. Find the electric flux through each of the six cube faces

S_{1}, S_{2}, S_{3}, S_{4}, S_{5}

S_{6}

S_{1}, S_{2}

S_{3}

and the sum of first

n, 2 n

3 n

terms of a geometric series respectively, then prove that

S_{1} (S_{3} - S_{2}) = {(S_{2} - S_{1})}^{2}

S_{1}, S_{2}

S_{3}

are the sum of first

n, 2 n

3 n

terms of a geometric series respectively, then prove that

S_{1} (S_{3} - S_{2}) = (S_{2} - S_{1})^{2}

Q. The sum of n, 2n, 3n terms of an AP are

S_{1}, S_{2}, S_{3}

respectively. Prove that

S_{3} = 3 (S_{2} - S_{1})

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

General Form of an AP

MATHEMATICS

Watch in App

explore_more_icon

Explore more

nth Term of an AP

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon