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In Mathematics / High School | 2014-06-05

Find the formula for the 19th term of the sequence in which \( a_1 = 9 \) and the common ratio is 6.

Asked by Anonymous

Answer (2)

Question : Find the formula for the 19th term of the sequence in which a1 = 9 and the common ratio is 6. Answer : From the question we know that : n = 19th a₁ = 9 r = 6 General Formulas To find any term of a geometric sequence: a n ​ = a 1 ​ ⋅ r ( n − 1 )
The formula for the 19th term of the sequence : a 19 ​ = 9 ⋅ 6 ( 19 − 1 )
a 19 ​ = 9 ⋅ 6 18

Answered by Icuk18sugiarto | 2024-06-10

The formula for the 19th term of the geometric sequence with a first term of 9 and a common ratio of 6 is a 19 ​ = 9 ⋅ 6 18 . This is derived using the general formula for the nth term of a geometric sequence. Each term builds on the previous term multiplied by the common ratio.
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Answered by Icuk18sugiarto | 2024-12-23

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