DofotheroU

2021-08-13

In the following exercises, determine if the sequence is arithmetic, geometric, or neither. If arithmetic, then find the common difference. If geometric, then find the common ratio.

Write the first five terms of the geometric sequence with the given first term and common ratio.${a}_{1}=6$ and $r=-2$

Write the first five terms of the geometric sequence with the given first term and common ratio.

gwibdaithq

Skilled2021-08-14Added 84 answers

We have information:

The given first term is 6 and common ratio $\left(r\right)=-2$

Calculation:

The given first term is $a=6$ and common ratio $\left(r\right)=-2$

To begin, multiply the first term by the common ratio. To get the next term and so on, multiply the result by the common ratio once more.

${a}_{1}=a=6$

${a}_{2}={a}_{1}\cdot r=6\cdot (-2)=-12$

${a}_{3}={a}_{2}\cdot r-12\cdot (-2)=24$

${a}_{4}={a}_{3}\cdot r=24\cdot (-2)=-48$

${a}_{5}={a}_{4}\cdot r=-48\cdot (-2)=96$

Hence, the first five terms of the sequence are 6,-12,24,-48,96.

Jeffrey Jordon

Expert2022-08-02Added 2605 answers

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