Identify the five terms of the geometric sequence if a1 = 3 and r = 5

Answer:3, 15, 75, 375, 1875If the common ratio is 5 it means that the quotient of the term and the term preceding it is 5, so you just need to multiply the terms by 5.3 x 5 = 1515 x 5 = 75 and so on

Answered by crypticshot | 2025-08-26

We have a formula of geometric sequence, and by using this we can identify the five terms for the given geometric sequence. [tex] a_{n} = a_{1} \times {r}^{n - 1} [/tex]List down the given values:[tex] a_{1} = 3[/tex][tex]r = 5[/tex]*a_n is equal to the nth term, which means we can substitute the number of terms we have to identify*[tex]a_{1} = 3 \times {5}^{1 - 1} = 3 \\ a_{2} = 3 \times {5}^{2 - 1} = 15 \\ a_{3} = 3 \times {5}^{3 - 1} = 75 \\ a_{4} = 3 \times {5}^{4 - 1} = 375 \\ a_{5} = 3 \times {5}^{5 - 1} = 1875[/tex]

Answered by chaeunniekks | 2025-08-26