Question

Find a₃₀-a₂₀ for the A.P.
(i)-9,-14,-19,-24,...
(ii)a,a+d,a+2d,a+3d,...

Answer 1

Answer:

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Answer 2

(i) a30 - a20 = 50

(ii)  a30 - a20 = 10d

Step-by-step explanation:

(i) -9,-14,-19,-24,...

a = -9

d = -5

an = a + (n-1)d

a30 - a20 = -9 -29(5) +9 +19(5)

 = 5(19-29)

 = 5 (10)

 = 50

a30 - a20 = 50

(ii) a, a+d, a+2d, a+3d....

 an = a + (n-1)d

a30 - a20 = a + 29d - (a +19d)

a30 - a20 = 10d