Question

If 6 times the sixth term of an AP is equal to 14 times the fourteenth term, the find the 20 th term.​

Answer 1

Step-by-step explanation:

Given,

6(6th term) = 14(14th term)

6[a+(6-1)d] = 14[a+(14-1)d]

6[a+5d]= 14[a+13d]

6a+30d = 14a+182d

0 = 14a-6a+182d-30d

0 = 8a+152d

0 = a+19d

a = -19d

Now, 20th term = a+(20-1)d

= a+19d

= -19d+19d = 0

Thus 20th term = 0

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