Answer:
198 1/3
Step-by-step explanation:
arithmetic sequence formula for the nth term:
aₙ = a₁ + (n-1)d
d = the common difference between each term
a₇ = a₁ + (7-1)d
34 = 5 + 6d
subtract 5 from both sides to isolate d and its coefficient
29 = 6d
divide both sides by 6 to isolate d
d = 29/6
a₄₁ = a₁ + (n-1)d
= 5 + (41-1)d
= 5 + 40d
= 5 + 40(29/6)
= 198 1/3
