Question

If the 10th term is 32 and the 20th term is 1024, find the sum of squares of the first
\( t_1^2 + t_2^2 + t_3^2 + \dots + t_e^2 \).

Hint:

For series problems, if the terms are given as squares, use summation formulas or manipulate the sequence accordingly.

Answer 1

Step 1: Understand the given values.
We are given that the 10th term is 32, and the 20th term is 1024. We need to find the sum of squares of these terms.
Step 2: Apply the sum of squares formula.
The sum of squares of the terms is calculated using the provided values, which gives the result: \[ S = 510 \]