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CHERISHGUNDAIN
Answered

The 5th term of a geometric sequence is 8 and the 9th term is 16128. Find the first term.

Sagot :

BARAXKGNGPHIN

Answer:

The first term is 0.00397.

Solution.

[tex]ar ^{8} = 16128 [/tex]

[tex] \frac{16128}{r {}^{8} } \times {r}^{4} = 8 [/tex]

[tex]8r {}^{4} = 16128[/tex]

16128/8 = 2016

r= 6.70

[tex]a = \frac{8}{(6.7) {}^{4} } [/tex]

a = 0.00397

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