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43 votes
43 votes
In an arithmetic sequence if a1 =7 and d = 3, find a64

User Pedro Vanzella
by
2.5k points

2 Answers

22 votes
22 votes

Answer:

196

Explanation:

Formula for the nth term

  • aₙ = a₁ + (n - 1) d

Taking n = 64

  • a₆₄ = 7 + 63(3)
  • a₆₄ = 7 + 189
  • a₆₄ = 196
User Stephen Nguyen
by
3.2k points
11 votes
11 votes

Answer:


a_(64)=196

Explanation:

Arithmetic sequence

General form of an arithmetic sequence:
a_n=a+(n-1)d

where:


  • a_n is the nth term
  • a is the first term
  • d is the common difference between terms

Given:


  • a_1=7

  • d=3

Substituting these into the equation to find the nth term:


\implies a_n=7+(n-1)3


\implies a_n=3n+4

To find the 64th term, substitute n = 64 into the formula:


\implies a_(64)=3(64)+4=196

User Dani M
by
2.7k points