Question

Which term of the ap 121,117,113... Is its first negative term?

Answer 1

Refer the attachment.

Answer 2

Answer: 32

Step-by-Step explanation:

Given Arithmetic Progression:

121, 117, 113...

Here, in this Arithmetic Progression:

a = 121

d = 117 - 121

d = (-4)

Let $\tt {a_{n} = 0}$

We know that:

$\tt {a_{n} = a + (n-1)d}$

Put in the values in this formula, and then solve and find the value of (n):

=> 0 = 121 + (n - 1)(-4)

=> 4n = 121 + 4

=> 4n = 125

=> n = 31.25

We get the value of n in decimals, thus, the next whole number after 31.25 will be the first negative term in the given AP.

Next whole number = 32

Thus, the term will be = 32