# mathenatic

The sum of sixth term of a.p is 72 and the second term is seven times fifth term find the first term,common difference and the sum of tenth term

1. 👍 0
2. 👎 0
3. 👁 201
1. garbled English, but I think you want

6/2 (2a+5d) = 72
a+d = 7(a+64d)

solve that for a and d, and then evaluate

10/2 (2a+9d)

1. 👍 1
2. 👎 0
posted by Steve
2. S6=72
6a+15d=72 call as eq 1
T2=7(a+4d)
a+d=7a+28d
6a+27d=0 call as eq 2

Consider the eq 1&2 simultaneously

6a+15d=72 eq 1
6a+27d=0 eq 2

Subtract 1&2

We get
-12d=72

d=-6

evaluate d=-6 in eq 2

We get a=27

To find s10

=10/2(2*27+(10-1)-4)
=5(54-36)
=5(18)
=90

1. 👍 1
2. 👎 0

## Similar Questions

1. ### Math

The forth term of an A.P is four times the first term. The sixth term is sixty, find the sum of 30 terms, common difference, and the first term.

asked by Franklin on January 28, 2020
2. ### Math

The sixth term of an A.P. is 5 times the first term and the eleventh term exceeds twice the fifth term by 3 . Find the 8th term ?

asked by Shivam on May 26, 2015
3. ### maths

in an AP the third term is equal to five times the sixth term. the second term is lesser by 3 than twice the fourth term. find the term of AP

asked by vagdevi on October 17, 2015
4. ### math

The sum of second term and fourth term of G.P is 30 and difference between sixth term and second term is 90,how to find third term

asked by suma on August 3, 2013
5. ### Math

The fifth term of an eponential sequence is 4375 and the second term is 35. Find the third , sixth term and sum of the of the first five term

asked by Yunusah Amen on March 26, 2019
1. ### Maths

The 3rd term of an AP is 10 more than the first term while the fifth term is 15 more than the second term.find the sum of the 8th and 15 term of AP.if the 7th term is seven times the first term.

asked by Magana on February 15, 2012
2. ### mathematics

evng .my teacher gave me this as a homework but i dnt undertand. 1.In a GP the 3rd term is equal to four times the first term and the sixth term is equal to three times the fourth term plus 32. Determine the sequence.

asked by patricia on May 3, 2016
3. ### Mathematics

If the sixth term of an A.P is 37 and the sum of the first sixth term is 147.find the first term and the sum of the first 15 terms

asked by Olajumoke on October 15, 2018
4. ### Math

The sixth term of an appointment is 37 and the sum of the first sixth term is147 find the first term,find the sum of the first fifteen terms.

asked by Gloria on August 24, 2017
5. ### math

The sum of the first 10 term of an arithmetic sequence is 145 and the sum of the fourth and ninth term is five times the third term. Determine the first term and constant difference.

asked by matso on February 1, 2015

More Similar Questions