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umka21 [38]
3 years ago
9

Given a geometric sequence with a1 = 6 and r= 2/3 write an explicit formula for an the nth term of the sequence.​

Mathematics
1 answer:
fomenos3 years ago
6 0

the explicit formula for aₙ the nth term of the sequence will be:a_{n}=6\times (\frac{2}{3})^{n-1}\\

Step-by-step explanation:

The explicit formula of geometric sequence is of the form:

a_{n}=a_{1}r^{n-1}

where a₁ is the first term and r is the common ratio.

We are given:

a₁ = 6

r = 2/3

Putting values in the formula:

a_{n}=a_{1}r^{r-1}\\a_{n}=6\times (\frac{2}{3})^{n-1}\\

So, the explicit formula for aₙ the nth term of the sequence will be: a_{n}=6\times (\frac{2}{3})^{n-1}\\

Keywords: Explicit formula for geometric sequence

Learn more about Explicit formula for geometric sequence at:

  • brainly.com/question/1522572
  • brainly.com/question/3280369
  • brainly.com/question/2491745

#learnwithBrainly

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