Question

Find the 84th term of the arithmetic sequence 18, 31, 44

Answer 1

Answer:

a(84)=1097

Step-by-step explanation:

Answer 2

The 84th term of the arithmetic sequence 18, 31, 44 obtained is 1097

What is an arithmetic sequence?

This is a type of sequence which have common difference between each term. It is represent mathematically as:

Tₙ = a + (n – 1)d

Where

Tₙ is the nth term

a is the first term

n is the number of terms

d is the common difference

How to determine the 84th term

• Sequence: 18, 31, 44
• First term (a) = 18
• Common difference = 31 – 18 = 13
• Number of terms (n) = 84

• 84th term (T₈₄) =?

Tₙ = a + (n – 1)d

T₈₄ = 18 + (84 – 1)13

T₈₄ = 18 + (83)13

T₈₄ = 18 + 1079

T₈₄ = 1097

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