Home
Class 10
MATHS
First term and common difference of an A...

First term and common difference of an A.P. are 6 and 3 respectively : Find `S_27`

Text Solution

Verified by Experts

The correct Answer is:
`S_(27)=1215`
Here, `a=6, d=3,S_(27)=?`
`S_(n)=(n)/(2)[[2a]=(n-1)d]` …(Formula)
`thereforeS_(27)=(27)/(2)[12+(27-1)xx[3]] " "|=12+26xx3`
`=(27)/(2)xx[90]`
`=(27)/(2)xx[90]" "|=12+78=90`
`thereforeS_(27)=[1215]`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ARITHMETIC PROGESSION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PRACTICE SET 3.4|29 Videos

  • ARITHMETIC PROGESSION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PRACTICE SET 3.2|13 Videos

  • ARITHMETIC PROGRESSION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise ASSIGNMENT 3.4|11 Videos

Similar Questions

Explore conceptually related problems

The first term and common difference of an A.P. are 3 and -2 respectively . Find its 6th term.

First term and common difference of an AP are 10 and -4 respectively find S_(n) and hence find S_(25) .

First term and common differnce of an A.P are 12 and 4 respectively if t_(n) = 96 find n.

The fitst term and the common difference of an A.P. are 12 and 4 respectively . If t_(n) = 96 find n .

The 1st term and the common difference of an A.P. are 10,000 and 2000 respectively . Find the sum of the first 12 terms.

The first term, last term and common difference of an A.P. are respectively a, b and 1. Prove that the sum of this A.P. is (1)/(2)(a+b)(1-a+b) .

The first term, last term and common difference of an A.P are respectively a, l and 1. Prove that the sum of this A.P. is (1)/(2)(a+b)(1-a+b).

The first term, common difference and last term of an A.P. are 12,6 and 252 respectively, Find the sum of all terms of this A.P.

The common difference, last term and sum of terms of an A.P. are 4, 31, and 136 respectively. Find the number of terms.

Write first three terms of the A.P .where first term and common difference is 7 and 9 respectively .

Home
Profile