Zaymiey

📐 Mathematics  ·  Sequences and Series  ·  JEE

The 7th term of GP is 192 and common ratio is 2. Find the first term.

Answer: 3.

  • A 2
  • B 3
  • C 4
  • D 5

Correct answer: B. 3

Explanation: an = a × r<sup>n-1</sup>. a × 2<sup>6</sup> = 192. a × 64 = 192. a = 3.

Each bar grows by the common difference d=3a1=2a2=5a3=8a4=11d=3

Bar heights for AP 2, 5, 8, 11 with the common difference d=3 marked between consecutive terms.

Concept context

Arithmetic progressions, geometric progressions, and sums

Read the full Sequences and Series notes →