Home
Class 10
MATHS
Show that a(1), a(2),……, a(n)…. Form an ...

Show that `a_(1), a_(2)`,……, `a_(n)`…. Form an AP where `a_(n)` is defined as below:
(i) `a_(n) = 3 + 4n`, (ii) `a_(n) = 9-5n`
Also find the sum of the first 15 terms in each case.

Text Solution

Verified by Experts

The correct Answer is:
(i) 525, (ii) `- 465`
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    NCERT TAMIL|Exercise EXERCISE 6.4|4 Videos

  • PROGRESSIONS

    NCERT TAMIL|Exercise EXERCISE 6.5|7 Videos

  • PROGRESSIONS

    NCERT TAMIL|Exercise EXERCISE 6.2|16 Videos

  • PROBABILITY

    NCERT TAMIL|Exercise THINK AND DISCUSS|3 Videos

  • QUADRATIC EQUATIONS

    NCERT TAMIL|Exercise OPTIONAL EXERCISE|7 Videos

Similar Questions

Explore conceptually related problems

If A_(1), A_(2),..,A_(n) are any n events, then

If a_(1), a_(2), a_(3) ,... are in AP such that a_(1) + a_(7) + a_(16) = 40 , then the sum of the first 15 terms of this AP is

If a_(1)=1, a_(2)=1 and a_(n)=2a_(n-1)+a_(n-2), nge3, ninN , then find the first six terms of the sequence.

If a_(1), a_(2) , ……. A_(n) are in H.P., then the expression a_(1)a_(2) + a_(2)a_(3) + ….. + a_(n - 1)a_(n) is equal to

If a_(1) = 4 and a_(n + 1) = a_(n) + 4n for n gt= 1 , then the value of a_(100) is

If a_(1), a_(2) …… a_(n) = n a_(n - 1) , for all positive integer n gt= 2 , then a_(5) is equal to

If a_(1), a_(2), ……., a_(n) are in A.P. with common differece d != 0 , then (sin d) [sec a_(1) sec a_(2) + sec a_(2) sec a_(3) + .... + sec a_(n - 1) sec a_(n)] is equal to

Let theta=(a_(1),a_(2),a_(3),...,a_(n)) be a given arrangement of n distinct objects a_(1),a_(2),a_(3),…,a_(n) . A derangement of theta is an arrangment of these n objects in which none of the objects occupies its original position. Let D_(n) be the number of derangements of the permutations theta . The relation between D_(n) and D_(n-1) is given by

Let theta=(a_(1),a_(2),a_(3),...,a_(n)) be a given arrangement of n distinct objects a_(1),a_(2),a_(3),…,a_(n) . A derangement of theta is an arrangment of these n objects in which none of the objects occupies its original position. Let D_(n) be the number of derangements of the permutations theta . D_(n) is equal to