Progression (Sequence and Series)Hard
Question
The sum of the first n terms of the series 12 + 2 . 22 + 32 + 2 . 42 + 52 + 2 . 62 + ... is
when n is even. When n is odd the sum is
when n is even. When n is odd the sum isOptions
A.

B.

C.

D.

Solution
If n is odd then (n - 1) is even ⇒ sum of odd terms 

Create a free account to view solution
View Solution FreeMore Progression (Sequence and Series) Questions
If the sum of the first n natural numbers is 1/5 times the sum of the their squares, then the value of n is -...-A man arrange to pay off a loan of Rs.3600 by 40 annual instalments which are in AP. When 30 of the instalments are pai...The product of n positive numbers is unity, then their sum is...The sum of the first ten terms of the geometric progression is S1 and the sum of the next ten terms (11th through 20th) ...If 0 < x, y, a,b < 1, then the sum of the infinite terms of the series + √x (√a + √x) + √x...