Write the first 4 terms of these geometric sequences 1) a 1 </msub> = &#x

seiyakou2005n1

seiyakou2005n1

Answered question

2022-05-28

Write the first 4 terms of these geometric sequences
1) a 1 = 3 , r = 5
2) a 1 = 1 4 , r = 2

Answer & Explanation

Terrance Phillips

Terrance Phillips

Beginner2022-05-29Added 10 answers

1)Given: a 1 = 3 , r = 5
a n = a 1 × r n 1
a 1 = a 1 × r 0
a 1 = 3

a 2 = 3 ( 5 ) = 15

a 3 = 3 ( 5 ) 2
a 3 = 3 ( 25 )
a 3 = 75

a 4 = ( 3 ) ( 5 ) 3
a 4 = ( 3 ) ( 125 )
a 4 = 375

Thus, the sequence is 3 , 15 , 75 , 375

2) Given: a 1 = 1 4 , r = 2
a n = a 1 × r n 1

a 2 = 1 4 ( 2 ) = 1 2

a 3 = 1 4 ( 2 ) 2
a 3 = 1 4 ( 4 )
a 3 = 1

a 4 = ( 1 4 ) ( 2 ) 3
a 4 = 8 4 = 2

Thus, we have the sequence: 1 4 , 1 2 , 1 , 2

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