Question

The first term a and common difference d are given. Find first four terms of A.P.

(i) a = -3, d = 4 (ii) a = 200, d = 7​

Answer 1

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Solution : (i) Given a = -3, d = 4

t1= -3, t2= t1+ d = -3 + 4 = 1, t3= t2+ d = 1 + 4 = 5

t4= t3+ d = 5 + 4 = 9

= A.P. is = -3, 1, 5, 9, . . .

(ii) Given a = 200, d = 7

a = t1= 200

t2= t1+ d = 200 + 7 = 207

t3= t2+ d = 207 + 7 = 214

t4= t3+ d = 214 + 7 = 221

= A.P. is = 200, 207, 214, 221, . .

Answer 2

Answer:

I. a=-3, d=4

a2=a+d a3=a+2d a4=a+3d

a2=-3+4=1, a3=-3+2×4=-3+8=5, a4=-3+3×4=-3+12=9

AP is -3, 1,5,9

II.a=200, d=7

a2=a+d a3=a2+d a4=a3+d

a2=200+7=207, a3=207+7=214, a4=214+7=221

AP is 200,207,214,221