Ask a Doubt
Request a call back

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

ICSE Class 10 Answered

The 5th and 9th terms of an arithmetic progression are 4 and -12 respectively. Find (a) the first term (b) common difference (c) sum of 16 terms of the AP
Asked by varma.renu9481 | 13 Mar, 2023, 11:46: AM
answered-by-expert Expert Answer
Given: 5th term a5 = 4 and 9th term a9 = -12
straight a plus 4 straight d equals 4 space space space space space space space space... space left parenthesis straight i right parenthesis straight a plus 8 straight d equals negative 12 space space... space left parenthesis ii right parenthesis Subtracting space left parenthesis straight i right parenthesis space from space left parenthesis ii right parenthesis comma space we space get 4 straight d space equals space minus 16 straight i. straight e. space straight d space equals space minus 4 Therefore comma space straight a equals 20 First space term space equals space 20 space and space common space difference equals negative 4 Sum space of space 16 space terms equals 16 over 2 open square brackets 2 straight a plus open parentheses 16 minus 1 close parentheses straight d close square brackets equals 8 open square brackets 40 minus 60 close square brackets equals 8 left parenthesis negative 20 right parenthesis equals negative 160
Answered by Renu Varma | 13 Mar, 2023, 12:05: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test Subjective Questions Webinar Subjective Questions Pre Board Assessment
Answered Unanswered My Questions My Answers
ICSE 10 - Maths
The 5th and 9th terms of an arithmetic progression are 4 and -12 respectively. Find (a) the first term (b) common difference (c) sum of 16 terms of the AP
Asked by varma.renu9481 | 13 Mar, 2023, 11:46: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
When do we use s=n/2(a+l) formula and when do we use s=n/2 x {2a+(n-1)d} formula in the sum of a.p?
Asked by rashikulkarni28 | 14 Aug, 2022, 04:32: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
In arithmetic progression , when we use s=n/2 [2a+(n-1)d] then why use a=(n-1)d formula?
Asked by rashikulkarni28 | 14 Aug, 2022, 04:30: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Given 1/(1*2*3)+1/(2*3*4)+.....+1/(98*99*100)=a/b. Find (b-a).
Asked by arpitadas4117 | 17 Jan, 2022, 02:13: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
mrs gupta replace her total lone of 1,18000 by paying instalments every month. if the instalment for first month is 1000 and it increase by 100 every month ? what amount of lone she still has to pay after the 30 th instalment
Asked by preeti31122005 | 14 Aug, 2021, 01:08: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
the sum of first 6 terms of an A.P is 63 .The ratio of the 10th term to the 20th term is 1:2 . calculate the first and the 15th terms
Asked by savithakotari962 | 08 Feb, 2021, 08:40: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
  The algebraic expression of a sequence is 81-8n. What is 10th term What is the sum of 1st 10 terms whether the sum of any number of terms of the sequence will be 400? Why?
Asked by stehyeapen | 19 Oct, 2020, 01:11: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
The sum of n natural number is 5n2 - 4n, find its 8th term
Asked by ruchitripathi96167 | 22 Sep, 2020, 12:16: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Find the sum of all even numbers between 10 and 100.
Asked by suneelmsc | 29 Jun, 2020, 05:00: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
How many terms of the A P 17,15,13,11..... must be added to get the sum 72?
Asked by suneelmsc | 29 Jun, 2020, 04:59: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt