In an increasing geometric progression of positive terms, the sum of the second and sixth terms is 70/3 and the product of the third and fifth terms is 49. Then the sum of the 4^(th), 6^(th) and 8^(th) terms is equal to:

Sequence and Series: JEE Main 2024 Mathematics question

JEE Main 2024 · 8 Apr, Evening shift · Q5276

JEE Main 20248 Apr, Evening shiftMathematicsHardSequence and Series179× since 2002

In an increasing geometric progression of positive terms, the sum of the second and sixth terms is

\frac{70}{3}

and the product of the third and fifth terms is 49. Then the sum of the

4^{\text {th }}, 6^{\text {th }}

and

8^{\text {th }}

terms is equal to:

JEE Main 2024 · 8 Apr, Evening shift · Q5276

JEE Main 20248 Apr, Evening shiftMathematicsHardSequence and Series179× since 2002

In an increasing geometric progression of positive terms, the sum of the second and sixth terms is

\frac{70}{3}

and the product of the third and fifth terms is 49. Then the sum of the

4^{\text {th }}, 6^{\text {th }}

and

8^{\text {th }}

terms is equal to: