Home
Class 10
MATHS
If a=7 and a13=35, then find d and S13....

If `a=7` and `a_13=35`, then find `d and S_13`.

Text Solution

Verified by Experts

`a_(13)=35`
`rArr 7+(13-1)d=35`
`rArr 12d=35-7=28`
`rArr d=(7)/(3)`
Now, `S_(n)=(n)/(2)(a+l) rArr S_(13)=(13)/(2)(7+35)=273`
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSION

    NAGEEN PRAKASHAN|Exercise Problem From NCERT/exemplar|20 Videos

  • ARITHMETIC PROGRESSION

    NAGEEN PRAKASHAN|Exercise Exercise 5a|5 Videos

  • AREA RELATED TO CIRCLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Question|6 Videos

  • CIRCLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Questions|3 Videos

Similar Questions

Explore conceptually related problems

In an A.P: given a= 7 , a_(13)=35 , find d and S_(13)

Find the A.M.between: 7 and 13

If A+B^T=[(1,3),(4,5)] and A^T-B=[(7,8),(-1,3)] , then find matrices A and B.

If P (A) = 7/3, P (B)= 9/13, "and" P(A cap B) = 4/13 , then find P (A/B)

Write the (i)difference (ii) sum of frequencies of 25 and 13 in the following data.9,11,13,25,27,5,17,29,13,17,25,13,28,25,35,32,13,25

If S=7/5+9/5^2+13/5^3+ . . . . then find value of 160S

Compare 2/5 and 13/35 .

Compare 2/5 and 13/35 .

If =(5)/(13)+(55)/((13)^(2))+(555)/((13)^(2))+(555)/((13)^(3))++ up to oo, then find the value of 36S .