Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

If m times the 'm'th term of an arithmetic progression is equal to n times its 'n'th term and m is  not equal to n, show that the (m+n)th term of the AP is zero
Asked by adalroshan2464 | 17 Feb, 2020, 02:55: PM
answered-by-expert Expert Answer
 
The nth term of an A.P is a + (n - 1)d.
 
According to the condition, we get
m[a + (m - 1)d] = n[a + (n - 1)d]
→ am + m2d - md = an + n2d - nd
→ a(m - n) + (m + n)(m - n)d - (m - n)d = 0
→(m - n)[a + (m + n - 1)d]= 0
 
Since m is not equal to n.
→ a + (m + n - 1)d = 0
→ (m + n)th term  is Zero.
Answered by Yasmeen Khan | 17 Feb, 2020, 03:43: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 10 - Maths
1.The mean weight of 9 students is 25 Kg. if one more student is joined in the group, the mean is unaltered. Find the weight of 10th student 2.If the nth term of an A.P is pn+q find its common difference.
Asked by purbashadebnath1980 | 09 Mar, 2024, 12:10: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
which term of the AP 3,8,13,18.....is. 78?
Asked by durgauikey7000 | 08 Dec, 2023, 08:16: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
if m times the m th term of an AP is equal to n times the n th term, show that the (m+n) th term of the AP is zero
Asked by prassanna.j | 13 Nov, 2023, 11:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
The mth term of an AP is n and the nth term is m. Find the rth term of the AP.
Asked by latayadav23 | 17 Oct, 2023, 08:25: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
The 11th term from the end of the AP 10, 7, 4,........, -62 is  A) 25 B) 16 C) -32 D) 0
Asked by paresh0311 | 21 Mar, 2023, 04:58: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
n/2 [2+2n]
Asked by vaishaliboriwarruturushi | 16 Dec, 2022, 07:13: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
find the 31th term of an AP whose 11th term is 38 and 16th term is 73
Asked by jaiprakashprasadr | 19 Jul, 2022, 09:22: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
an-ak for the AP a,a+d,a+2d
Asked by harinimathi815 | 21 Feb, 2022, 08:14: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
plzz solve all these
question image
Asked by monalipradhan909 | 21 Mar, 2021, 07:10: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
The 8th term of APThe 8th term of AP is 0. Prove that its 38 term is triple of its 18th term  
Asked by Shirlythomas1332 | 20 Mar, 2021, 10:11: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×