JAMIA 2024 — Reasoning PYQ

Given Data:

• First term ($a$): $2$

• Common ratio ($r$): $\frac{6}{2}=3$

• Term to find ($n$): $8$

Formula:

The $n^{th}$ term of a Geometric Progression is calculated using the formula:

Calculation:

1. Substitute the values into the formula:

   $$a_8=2\cdot 3^{(8-1)}$$

2. Simplify the exponent:

   $$a_8=2\cdot 3^7$$

3. Calculate the value of $3^7$:

   $$3^7=3\times 3\times 3\times 3\times 3\times 3\times 3=2187$$

4. Multiply by the first term:

   $$a_8=2\times 2187$$
   $$a_8=4374$$

Answer: The 8th term of the series is 4374.