26.6k views
3 votes
Given the arithmetic sequence below, what figure has 89 tiles?

Given the arithmetic sequence below, what figure has 89 tiles?-example-1
User Dukz
by
7.3k points

1 Answer

4 votes

In an arithmetic sequence, the successive terms differ by a common difference.

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence

d represents the common difference

n represents the number of terms(figure)

From the information given,

a = 5

second term, T2 = 9

Third term, T3 = 13

d = T2 - T1 = T3 - T2 = 9 - 5 = 13 - 9

d = 4

Tn = 89

Therefore,

89 = 5 + (n - 1)4

89 = 5 + 4n - 4

89 = 5 - 4 + 4n

89 = 1 + 4n

4n = 89 - 1 = 88

n = 88/4

n = 22

The 22nd figure has 89 tiles

User Plane Wryter
by
9.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories