Respuesta :

Answer:

196

Step-by-step explanation:

Formula for the nth term

  • aₙ = a₁ + (n - 1) d

Taking n = 64

  • a₆₄ = 7 + 63(3)
  • a₆₄ = 7 + 189
  • a₆₄ = 196
semsee45

Answer:

[tex]a_{64}=196[/tex]

Step-by-step explanation:

Arithmetic sequence

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

where:

  • [tex]a_n[/tex] is the nth term
  • a is the first term
  • d is the common difference between terms

Given:

  • [tex]a_1=7[/tex]
  • [tex]d=3[/tex]

Substituting these into the equation to find the nth term:

[tex]\implies a_n=7+(n-1)3[/tex]

[tex]\implies a_n=3n+4[/tex]

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

[tex]\implies a_{64}=3(64)+4=196[/tex]