# If m times of m term of an ap is equal to n times of n term of same ap show that m N th term is zero - Questions Bank

The question "If m times of m term of an ap is equal to n times of n term of same ap show that m+n th term is zero" is taken from class-10 chapter is Arithmetic Progressions Mathematics English-Medium NCERT-Book and related topic is Theorem For M And N Term Of Same A.P.. If m times of m term of an ap is equal to n times of n term of same ap show that m N th term is zero - Questions Bank is from NCERT Solutions class 10 English-Medium subject Mathematics chapter- Arithmetic Progressions Questions bank Students need stored questions answers as questions banks which can be used anytime anywhere as we can't learn so many ncert solutions.

## If m times of m term of an ap is equal to n times of n term of same ap show that m N th term is zero - Questions Bank

##### Question Origin:

NCERT-Book ➧ class-10 ➧ Mathematics ➧ English-Medium ➧ Arithmetic Progressions ➧ Theorem For M And N Term Of Same A.P.

If m times of mth term of an A.P. is equal to n times of nth term of same A.P. Show that (m + n)th term is zero.

Source:www.questionsbanks.com Last updated: 2022-10-11 21:36:33

Let the first term of A.P. is a and common difference d = d,

अत: m(am) = n(an)

m[a + (m – 1)d] = n[a + (n – 1)d]

am + m(m – 1)d = an + n(n – 1)d

am – an + [m2 – m – n+ n]d = 0

a(m – n ) + [m2 – n–( m – n)]d = 0

a(m – n ) + [(m + n) (m – n) – ( m – n)]d = 0

(m – n ) [a + {(m + n)– 1}]d = 0

a + {(m + n)– 1}d = 0   ………….. (1)

am + n = a + {(m + n)– 1}d

am + n = 0     From Equation (i)

## Chapter: Arithmetic Progressions | Topic: Theorem For M And N Term Of Same A.P.

2 Questions Found on same Topics.

If m times of mth term of an A.P. is equal to n times of nth term of same A.P. Show that (m + n)th term is zero.

if pth , qth and rth terms of an A.P. is a, b and c respectively, prove that : a(q – r) + b(r – p) + c(p – q) = 0 .

### Chapter: Arithmetic Progressions (Mathematics English-Medium)

Hey! 8 Questions Found on same Chapter.

For what value of k, 2k-7,k+5 and 3k+2 are the consecutive terms of an A.P?

The sum of n terms of two A.P.’s is in the ratio 3n + 8: 7n + 15. Find the ratio of their 9th terms.

If m times of mth term of an A.P. is equal to n times of nth term of same A.P. Show that (m + n)th term is zero.

Which term will be zero of A.P: 105, 98, 91, ........................ ?

if pth , qth and rth terms of an A.P. is a, b and c respectively, prove that : a(q – r) + b(r – p) + c(p – q) = 0 .

If tn = 2n+1 then find the series (A.P).

Which term of the sequence 114, 109, 104…………is the first negative term?

If the sum of nth term of an A.P. is define as Sn = 3n2 + 4 then find the nth term?

# If m times of m term of an ap is equal to n times of n term of same ap show that m N th term is zero - Questions Bank

All chapters of NCERT Book as ncert solutions have exercise questions, textual questions and so many addtional questions like short answered questions, long answered questions and very long questions, here we included all types of questions answers format that need for a students and other stock holders like teachers and tutors. If m times of m term of an ap is equal to n times of n term of same ap show that m N th term is zero - Questions Bank is from NCERT Solutions class 10 English-Medium subject Mathematics chapter- Arithmetic Progressions Questions bank

## If m times of m term of an ap is equal to n times of n term of same ap show that m N th term is zero - Questions Bank

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