Question

Write the first five terms of the geometric sequence with the given 1st term and the common ratio.

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Answer 1

• a=3
• r=-1/2

Note the rule

`\boxed{\sf a_n=ar^(n-1)}`

Now

`\\ \tt\longmapsto a_2=3(-1/2)^(2-1)=3(-1/2)=-3/2`

`\\ \tt\longmapsto a_3=3(-1/2)^(3-1)=3(-1/2)^2=-3/4`

`\\ \tt\longmapsto a_4=3(-1/2)^(4-1)=3(-1/2)^3=-3/8`

`\\ \tt\longmapsto a_5=3(-1/2)^(5-1)=3(-1/2)^4=-3/16`