List the first 4 terms of a geometric sequence with a first term of 2 and a common ratio of 5.
I have no clue even where to start. The question after that is the same, except the first term is 4 and the common ratio is 4.

Respuesta :

Answer:

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Step-by-step explanation:

The first 4 terms of the geometric sequence with a first term of 2 and a common ratio of 5 are 2, 10, 50, 250

using the geometric sequence formula,

  • aₙ = arⁿ⁻¹

where

a = first term = 2

r = common ratio  = 5

let find the remaining 3 terms

The 2nd term can be found below

  • a₂ = 2 × 5²⁻¹ = 2 × 5 = 10

The 3rd term can be found below

  • a₃ = 2 × 5³⁻¹ = 2 × 25 = 50

The 4th term can be found as follows

  • aₙ = 2 × 5⁴⁻¹ = 2 × 125 = 250

Therefore, the first 4 terms are 2, 10, 50, 250.

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