How do you write the expression for the nth term of the geometric sequence $a_{1} = 500, r = 1.02, n = 40$ $a_1=500, r=1.02, n=40$ ?

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How do you write the expression for the nth term of the geometric sequence $a_{1} = 500, r = 1.02, n = 40$ $a_1=500, r=1.02, n=40$ ?

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Answer 1 · 2018-05-20T18:28:51

$a_{40} \approx 1082.37 to 2 dec. places$ $a_(40)~~1082.37" to 2 dec. places"$

Explanation:

$for a geometric sequence the n th term formula is$ $"for a geometric sequence the n th term formula is"$

$∙ x a_{n} = a_{1} r^{n - 1}$ $•color(white)(x)a_n=a_1r^(n-1)$

$here a_{1} = 500, r = 1.02 and n = 40$ $"here "a_1=500,r=1.02" and "n=40$

$\Rightarrow a_{40} = 500 {(1.02)}^{39} \approx 1082.37$ $rArra_(40)=500(1.02)^(39)~~1082.37$

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How do you write the expression for the nth term of the geometric sequence $a_{1} = 500, r = 1.02, n = 40$ $a_1=500, r=1.02, n=40$ ?

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How do you write the expression for the nth term of the geometric sequence a_1=500, r=1.02, n=40a1=500,r=1.02,n=40a_1=500, r=1.02, n=40?

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Explanation:

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How do you write the expression for the nth term of the geometric sequence $a_{1} = 500, r = 1.02, n = 40$ $a_1=500, r=1.02, n=40$ ?