Question

Write a recursive formula for a n a n , the n th n th term of the sequence 6 , − 12 , 24 , . . .

Answer 1

See below ↓↓

Explanation:

a₁ refers to the first term of the sequence.

That is clearly : a₁ = 6

The formula for the nth term is :

• aₙ = a₁rⁿ⁻¹
• Common ratio (r) = quotient of consecutive terms
• r = -12/6 = -2

Therefore, the nth term is :

• aₙ = 6(-2)ⁿ⁻¹