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PLEASE HELP ME! For a geometric sequence, if a1 = 2 and a5 = 1250, what is the value of r?​

PLEASE HELP ME For A Geometric Sequence If A1 2 And A5 1250 What Is The Value Of R class=

Sagot :

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Answer: r = 5

Steps:

[tex]a_n=ar^{n-1}[/tex]

1. add Values to formula

[tex]1250=2r^{5-1}[/tex]

2. get r alone

[tex]\frac{1250}{2}=\frac{2r^{4}}{2}[/tex]  ➜ [tex]625= r^4[/tex]
3. get rid of the exponents

[tex]\sqrt[4]{625}= \sqrt[4]{r^4}[/tex] ➜ [tex]\sqrt[4]{625}= r=5[/tex]

r = 5

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