Question

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Simple Question

Which term in the A.P. 68,64,60... is -8 ?

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Answer 1

$\huge\bold\orange {Answer:-}$

20

$\bold{Step\: by\: step\: explanation}$

Given AP :- 68,64,60... -8

Here, First term, a = 68

Common Difference, d = 64 - 68 = - 4

Last term, an = Tn = - 8

We know that the nth term of an AP is given by

an = a + ( n - 1 ) * d

=> - 8 = 68 + ( n - 1 ) * ( - 4 )

=> - 8 = 68 - 4n + 4

=> - 8 = 72 - 4n

=> - 8 - 72 = - 4n

=> - 80 = - 4n

=> n = 80 / 4

=> n = 20

Therefore, the 20th term of an AP is - 8.

$\textbf{Hope it helps!}$

Answer 2

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$\mathfrak{\green{ANSWER:}}$

Given AP :- 68,64,60... -8

Here, First term, a = 68

Common Difference, d = 64 - 68 = - 4

Last term, an = Tn = - 8

We know that the nth term of an AP is given by

an = a + ( n - 1 ) * d

=> - 8 = 68 + ( n - 1 ) * ( - 4 )

=> - 8 = 68 - 4n + 4

=> - 8 = 72 - 4n

=> - 8 - 72 = - 4n

=> - 80 = - 4n

=> n = 80 / 4

=> n = 20

Therefore, the 20th term of an AP is - 8.

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