- #1

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I have to write an expression for the nth term of this geometric sequence.

a

_{1}=100

a

_{2}=106

a

_{3}=112.36

I've worked out the ratio to be r=1.06

I am using the formula u

_{n}=ar

^{(n-1)}

so the expression i have come up with is u

_{n}=100(1.06)

^{(n-1)}

Is this correct? I have checked and it does work. I tried multiplying 100(1.06) on its own first to give me the formula

106

^{(n-1)}

but that doesnt work....hence me doubting myself.

Any comments much appreciated