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Find the 15th term of the geometric sequence 2,−8,32,...

Sagot :

mikaiwills28

Answer: first term (a)= 2

second term (b) = -8

common ratio (r) = -8/2 = -4

15th term = ar^ (n-1)

               = 2* (-4)^ 14 =536870912

Step-by-step explanation:

clarch19

Answer:

536,870,912

Step-by-step explanation:

the formula for geometric sequences is:

aₙ = a₁·[tex]r^{n-1}[/tex]

where aₙ is, in this case the 15th term

r = common ratio which, in this case, is -4

a₁ = first value in the sequence

so:

a₁₅= 2(-4)^14

= 2(268,435,456)

= 536,870,912

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