Q. 85.0( 1 Vote )

# The sum of 10 terms of the series is

A.

B.

C.

D.

Answer :

Let S = √2 + √6 + √18 + ……….

It can also be written as,

S = √2(1 + √3 + 3 + 3√3 + …….)

Now,

1 + √3 + 3 + 3√3 + …… is a G.P with common ratio √3

Sum of the 10 terms will be given by,

S_{10} = 121(√6 + √2)

Rate this question :

A person has 2 parents, 4 grandparents, 8 great grand parents, and so on. Find the number of his ancestors during the ten generations preceding his own.

RD Sharma - MathematicsThe sum of the series to n terms is

RD Sharma - MathematicsHow many terms of the G.P. are needed to give the sum ?

RD Sharma - MathematicsIf , then S_{n} is equal to

Let a_{n} be the nth term of the G.P. of positive numbers. Let and such that α ≠ β. Prove that the common ratio of the G.P. is α /β

Find the sum of 2n terms of the series whose every even term is ‘a’ times the term before it and every odd term is ‘c’ times the term before it, the first term being unity.

RD Sharma - MathematicsIf , find the value of .

RS Aggarwal - MathematicsFind the sum (41 + 42 + 43 + …. + 100).

RS Aggarwal - MathematicsFind the sum (2 + 4 + 6 + 8 +… + 100).

RS Aggarwal - MathematicsIf, prove that,

.

RS Aggarwal - Mathematics