A sequence can be generated by using an=5an−1, where a1=2 and n is a whole number greater than 1.

What are the first 3 terms in the sequence?


2, 7, 12

2, 10, 50

5, 7, 9

5, 10, 20

Answer:

2nd option

Step-by-step explanation:

Using [tex]a_{n}[/tex] = 5[tex]a_{n-1}[/tex] and a₁ = 2 then

a₂ = 5 × a₁ = 5 × 2 = 10

a₃ = 5 × a₂ = 5 × 10 = 50

the first 3 terms are 2, 10, 50

The first three terms of the given sequence are 2, 10, 50

A sequence in which every term is obtained by multiplying or dividing a definite number with the preceding number is known as a geometric sequence.

Given that, a sequence can be generated by using aₙ₋₁ = 5 and a₁ = 2,

We need to find the first three terms of the sequence,

Therefore, aₙ₋₁ = 5 and a₁ = 2 then

a₂ = 5 × a₁ = 5 × 2 = 10

a₃ = 5 × a₂ = 5 × 10 = 50

Therefore,

The first 3 terms are 2, 10, 50

Hence, the first three terms of the given sequence are 2, 10, 50

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