Question

Which term of ap 2, -1, -4, -7 is -43

Answer 1

Answer:

n=36

Step-by-step explanation:

given

ap= 2, -1, -4 , -7

we know that

an = a+(n-1) d

hear a=2 d = -3 an=-43

-43=2+ (n-1)-3

= 2+ (-3n) +3

-43 =-3 n+5

-48 =-3 n

n = -48/-3

n=+36

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Answer 2

$\mathcal{\huge{\underline{\purple{Question:-}}}}$

Which term of AP 2, -1, -4, -7 is -43 ?

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Given :-

• An AP → 2, - 1, - 4, - 7

To Find :-

• Which term of AP is - 43 ?

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$\mathcal{\huge{\underline{\purple{Solution:-}}}}$

• First term, a = 2

• Second term = - 1

• Common difference, d = second term - first term

=> - 1 - 2

=> - 3

Hence, Common difference is - 3.

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Now , we have to find nth term of AP....

Formula of nth term of an Ap is

Tn = a + (n - 1)d

Put the value of a and d.

- 43 = 2 + (n - 1)(-3)

=> - 43 = 2 -3n + 3

=> - 43 = 5 - 3n

=> - 43 - 5 = - 3n

=> - 48 = - 3n

=> n = 48/3

=> n = 16

Hence, 16th term of AP is - 43

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