Write the first five terms of a sequence. Write both an explicit formula and a recursive formula for a general term in the sequence. recursive formula for arithmetic sequence recursive formula for geometric sequence how to write a recursive formula recursive formula calculator arithmetic sequence formula calculator geometric sequence formula recursive sequence write the first five terms of the arithmetic sequence Report inappropriate predictions

Greyson Landry

Greyson Landry

Answered question

2022-07-17

Write the first five terms of a sequence. Write both an explicit formula and a recursive formula for a general term in the sequence. recursive formula for arithmetic sequence recursive formula for geometric sequence how to write a recursive formula recursive formula calculator arithmetic sequence formula calculator geometric sequence formula recursive sequence write the first five terms of the arithmetic sequence Report inappropriate predictions

Answer & Explanation

ab8s1k28q

ab8s1k28q

Beginner2022-07-18Added 17 answers

Answer with explanation:
Arithmetic Sequence
11 , 21 , 31 , 41 , 51 , . . . . . .
First term =11
Common Difference ( d ) = 21 11 = 10
a n = a n 1 + 10  ----Recursive formula
a n = a 1 + n 1 d
a n = 11 + ( n 1 ) × 10
a n = 10 n + 1  -----Explicit formula
Geometric Sequence
First five terms of the sequence are
4 , 4 2 , 4 3 , 4 4 , 4 5 ,
First term = a 1 = 4
Common ratio, r = a 2 a 1
r = 4 2 4 r = 4 a n = 4 × a n 1 ----- Recursive formula a n = a 1 × r n 1 a n = 4 × 4 n 1 a n = 4 1 + n 1 a n = 4 n -----Explicit formula

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