prem3759 prem3759
  • 22-05-2021
  • Mathematics
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An explicit formula to represent the geometric sequence with a first term of 10 and a common ratio of 3.

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adefunkeadewole adefunkeadewole
  • 23-05-2021

Answer:

an = 10(3^n-1)

Step-by-step explanation:

The explicit formula of a geometric sequence is written as:

an = ar^n - 1

Where

an = nth term

a = First term

r = common ratio

n = number of terms

Hence, an explicit formula to represent the geometric sequence with a first term of 10 and a common ratio of 3 is written as:

an = 10 × 3^n-1

an = 10(3^n-1)

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