Question

List the first 4 terms of a geometric sequence with a first therm of 2 and a common ratio of 5

Answer 1

Answer:

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

Answer 2

Answer:

Geometrical prograssion is

a,ar,ar^2ar^3

a=2

r=5

so

term 1 = 2

term 2= 2×5=10

term3 =2(5)^2=50

term3 =2×(5)^3=250