Which term of the A.P. 105, 101, 97, ........., is the first negative term?

Let the first negative term be n. ⇒ a n 0 ⇒ a + (n - 1)d 0 ⇒ 105 + (n - 1)(-4) 0 ⇒ 105 - 4n + 4 0 ⇒ 109 - 4n 0 ⇒ 4n 109 ⇒ n Given, n . So after 27 th term next terms will be negative so the first term to be negative will be 28 th . Hence, 28 th term is the first negative term.

For an A.P., show that :
(m + n)^th term + (m - n)^th term = 2 × m^th term.

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If the n^th term of the A.P. 58, 60, 62, …… is equal to the n^th term of the A.P. -2, 5, 12, ……., find the value of n.

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Divide 216 into three parts which are in A.P. and the product of two smaller parts is 5040.

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Can 2n² - 7 be the n^th term of an A.P. Explain.

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Mathematics

Which term of the A.P. 105, 101, 97, ………, is the first negative term?

AP

Related Questions

For an A.P., show that :
(m + n)^th term + (m - n)^th term = 2 × m^th term.

If the n^th term of the A.P. 58, 60, 62, …… is equal to the n^th term of the A.P. -2, 5, 12, ……., find the value of n.

Divide 216 into three parts which are in A.P. and the product of two smaller parts is 5040.

Can 2n² - 7 be the n^th term of an A.P. Explain.

Mathematics

Which term of the A.P. 105, 101, 97, ………, is the first negative term?

AP

Related Questions

For an A.P., show that :(m + n)th term + (m - n)th term = 2 × mth term.

If the nth term of the A.P. 58, 60, 62, …… is equal to the nth term of the A.P. -2, 5, 12, ……., find the value of n.

Divide 216 into three parts which are in A.P. and the product of two smaller parts is 5040.

Can 2n2 - 7 be the nth term of an A.P. Explain.

For an A.P., show that :
(m + n)^th term + (m - n)^th term = 2 × m^th term.

If the n^th term of the A.P. 58, 60, 62, …… is equal to the n^th term of the A.P. -2, 5, 12, ……., find the value of n.

Can 2n² - 7 be the n^th term of an A.P. Explain.