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Makovka662 [10]
2 years ago
14

2. Write a recursive formula for the sequence 5, 18, 31, 44, 57, ... Then find the next term.

Mathematics
2 answers:
ludmilkaskok [199]2 years ago
8 0

Answer: a6=70

Step-by-step explanation:

we know that

In the Arithmetic Sequence the formula is:

an= a1 + d(n−1)

where

a1 is the first term

d is the common difference

n is the number of terms

in this problem

a1=5

a2=18

a3=31

a4=44

a5=57

so

d=a2-a1 or a3-a2 or a4-a3 or a5-a4

d=57-44----> 13

find a6

a6= a1 + d(n−1)

n=6

d=13

a1=5

a6=5+13*(6-1)----> a6=5+13*5----> a6=70

Wittaler [7]2 years ago
3 0

Answer:

<h3>A1=5;an=an-1+13. The next term is 70</h3>

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