Question

Which term of 37, 32, 27, ....... Is - 103?​

Answer 1

Answer:

31

Step-by-step explanation:

an= -103

a =37

f= -5

an =a +(n-1) d

-103=37+(n-1) -5

-150=n-1×-5

n-1=-150/-5

n-1=30

n=31

Answer 2

The 29th term is -103.

Step-by-step explanation:

The series is: 37, 32, 27, ...

The series is an arithmetic progression.

The first term is, a = 37.

The common difference is, d = 32 - 37 = -5.

The nth term is -103.

Compute the value of n as follows:

$T_{n}=a+(n-1)d\\-103=37+(n-1)(-5)\\-140=-5(n-1)\\28=n-1\\n=29$

Thus, the 29th term is -103.

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