Question

Find the 10th term of the geometric sequence 1, 3, 9,

Answer 1

Answer:

the 10th number is 174449211009120179071170507

Step-by-step explanation:

Answer 2

The 10th term of the geometric sequence will be 19683.

Given:

a geometric sequence: 1, 3, 9,...

To Find:

the 10th term of the geometric sequence

Solution:

as we can see that the first term of the GP is 1

⇒ a = 1

the common ratio is = 3/1 or 9/3 = 3

⇒ r = 3

thus, the nth term of the GP will be given as-

aₙ = ar⁽ⁿ ⁻ ¹⁾

when n = 10

a₁₀ = ar⁽¹⁰ ⁻ ¹⁾

a₁₀ = ar⁹

a₁₀ = (1 × 3⁹)

a₁₀ = 19683

Thus, the 10th term of the geometric sequence will be 19683.

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