Request a call back

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

JEE Class main Answered

solution
question image
Asked by 20sanjaykoley20 | 19 Dec, 2023, 12:57: AM
answered-by-expert Expert Answer

img

Each term in above sum is written as

img

Each term is arithmetic progression ( 4+7+10+........... ) . Number of terms in arithmetic progression (A.P.)equals term number .

For example first term of given sum  has only one term of  A.P. , second term of given sum fas two terms of A.P etc..

Given sum is written as

img

inner sum is written as

img

img

Hence in above sum , first term is sum of natural numbers and second term is sum of squares

img

Above expression is simplified as

img

Hence we get , S29 = (1/2) ( 29 × 30 × 32)    and  S9 = (1/2) ( 9 × 10 × 12)

S29 - S9 = 60 × [ 232 - 9 ]

(1/60) [ S29 - S] = 223

Answered by Thiyagarajan K | 19 Dec, 2023, 11:53: AM
JEE main - Maths
Asked by vishalsarap0022 | 19 May, 2024, 10:30: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
Asked by obravickykumar50 | 07 May, 2024, 09:27: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
Asked by vishwajeetsinghrajput2018 | 17 Mar, 2024, 12:27: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
Asked by mailtome.aj86 | 26 Feb, 2024, 08:29: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
Asked by sabeenashaik575 | 09 Jan, 2024, 09:53: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
Asked by 20sanjaykoley20 | 19 Dec, 2023, 12:57: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
Asked by kunmunkumar08032008 | 08 Oct, 2023, 01:15: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
Asked by nitinsolanki14102001 | 16 Sep, 2023, 03:01: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×