Find the

30^thterm of the A.P. 10, 7, 4 ……

Given

First term (a) = 10

Common difference (d) = 2^nd – 1^st terms

d = 7 – 10 = -3

we need to find the 30^th term

we know that a_n = a + (n-1)d

so n = 30

a₃₀ = 10 + (30-1) (-3)

a₃₀ = -77