Question

The first term of arithmetic progression -47
Its common difference -3
Which term is closest to -105 ?
th
term.​

Answer 1

Answer:

20 th term (-104) will be the closest to -105

Step-by-step explanation:

Given, a = -47 , d =-3

Find the term closest to -105

take tₙ ≈ a+(n-1)d ≈ -105

            ≈  -47 + (n-1) (-3) = -105

            ≈  -47 -3n +3 = -105

            ≈  -44 -3n = -105

            ≈  105-44 = 3n

            ≈   61 = 3n

            ≈   n  ≈ 20

so, t₂₀ = -47 + 19(-3) = -47 - 57 = -104 which is closest to -105