Solve how you found the 23rd term of this pattern: 7, -21, 63, -189,.... and determine if it’s arithmetic or geometric ! Please answer this !!

Respuesta :

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Answer:

219 677 417 263; Geometric

Step-by-step explanation:

Consecutive terms alternate in sign and differ by a factor of 3.

That tells us this is a geometric sequence.

The formula for the nth term of a geometric sequence is

aₙ = a₁rⁿ⁻¹

a₁ =        7

a₂ =    -21

a₃ =    63

a₄ = -189

The common factor r is -3.

a₂₃ = 7(-3)²²  = 219 677 417 263