Explain how to find the 41st term of the arithmetic sequence where a1=5 and a7=34.

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

step-by-step explanation:

b and c

step-by-step explanation: