Question

1st arthemtic progrresion is1.7 common difference is-0.2 which term will be 1st negative term

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Answer 1

Answer:

The first negative term in the A.P. is 10th term.

Given:

• First term of an A.P. = 1.7

• Common difference = -0.2

To find:

• The first negative term of the A.P.

Solution:

tn = a + (n - 1)d

Here to get tn negative, the value of (n - 1) d must be grater than the value of a in negative.

i.e. (n - 1)d > -1.7

=> (n - 1) -0.2 > -1.7

=> n - 1 > 8.5

=> n > 9.5

But n is an natural number.

Hence, n = 10

Verification:

tn = a + (n - 1)d

=> t10 = 1.7 + (10 - 1) (-0.2)

=> t10 = 1.7 - 1.8

=> t10 = -0.1

Hence, the first negative term in the A.P. is 10th term.