Question

Find the specified nth term of each geometric sequence. a4 = 10, r = 2, n = 9

Answer 1

Answer:

$a_{n} = 1.25(2)^{n-1}$

Step-by-step explanation:

Geometric Sequence is the sequence in which every digit is the same multiplier of its previous digit.

The formula of Geometric Sequence is: $a_{n} = a_{1}(r)^{n-1}$

We have given value of 4th term i.e.

$a_{4} = a_{1}(2)^{4-1}$

⇒ $10 = a_{1} (2)^{3}$

⇒ $a_{1} = \frac{10}{(2)^{3}}$

⇒ a₁ = 1.25

Hence, the nth term of each sequence is: $a_{n} = 1.25(2)^{n-1}$