Home
Class 10
MATHS
If 2, a, b, c d, e, f and 65 form and A....

If 2, a, b, c d, e, f and 65 form and A.P., find the value of e.

Text Solution

Verified by Experts

Here , `T_(1)=2, T_(8)=65, T_(6)=e`
Let the common difference be D
`T_(8)=65 rArr T_(1)+(8-1)D=65`
`rArr 2+7D=65 rArr D=9`
`:. E=T_(6)=T_(1)+(6-1)D=2+5(9)=47`
Hence, the value of e is 47.
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

If the numbers a,b,c,d,e form an A.P.,then find the value of a-4b+6c-4d+e

If a,b,c,d, e are in A.P.,the find the value of a-4b+6c-4d+e

If a,b,c are in H.P , b,c,d are in G.P and c,d,e are in A.P. , then the value of e is

If a, b, c, d, e, f are in A.P., then e – c is equal to

In a A B C , D and E are points on the sides A B and A C respectively such that D E B C If A D=2 c m , A B=6 c m and A C=9 c m , find A E . (ii) If (A D)/(B D)=4/5 and E C=2. 5 c m , find A E . (iii) If A D=x , D B=x-2 , A E=x+2 and E C=x-1 , find the value of x .

If a, b, c, d, e, f are in AP, then (e-c) is equal to which one of the following?