Question

in an AP 5th term is 21 and 2nd term is 9 find the 25th term of AP​

Answer 1

Answer:

Step-by-step explanation:

given,

5th term of AP = 21

9th term of AP = 9

nth term = a + (n-1) d

21 = a + (5-1) d

21= a+ 4d  eq1

9 = a+ (9-1)d

9 = a+ 8d  eq2

subtract eq2 from eq1

12= -4 d

d= -3

substitue d value in eq1

21 = a + 4(-3)

21 = a-12

a= 33

now,

25th term = 33 + 24*-3

                 = 33 - 72

                 = -39

hope it helps

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