English

Find the 8th Term from the End of the Ap 7, 10, 13, ……, 184.

Advertisements
Advertisements

Question

Find the 8th  term from the end of the AP 7, 10, 13, ……, 184.

Advertisements

Solution

Here, a = 7 and d = (10-7) = 3,l = 184 and n =  8th   form the end.

Now, nth  term from the end = [ l - (n-1) d]

8th  term from the end = [184-(8-1) x3]

                                     =[ 184-(7×3)]=(184-21)=163

Hence, the 8th  term from the end is 163.

shaalaa.com
  Is there an error in this question or solution?
Chapter 5: Arithmetic Progression - Exercises 1

APPEARS IN

R.S. Aggarwal Mathematics [English] Class 10
Chapter 5 Arithmetic Progression
Exercises 1 | Q 20

RELATED QUESTIONS

If Sn denotes the sum of first n terms of an A.P., prove that S30 = 3[S20S10]


Check whether -150 is a term of the A.P. 11, 8, 5, 2, ....


If the sum of first m terms of an A.P. is the same as the sum of its first n terms, show that the sum of its first (m + n) terms is zero


Find the sum of n terms of an A.P. whose nth terms is given by an = 5 − 6n.


Find the sum of all integers between 50 and 500, which are divisible by 7.


The sum of n natural numbers is 5n2 + 4n. Find its 8th term.


The 8th term of an AP is zero. Prove that its 38th term is triple its 18th term.  


The first and last terms of an AP are a and l respectively. Show that the sum of the nth term from the beginning and the nth term form the end is ( a + l ).


Find the first term and common difference for  the A.P.

0.6, 0.9, 1.2,1.5,...


If in an A.P. Sn = n2p and Sm = m2p, where Sr denotes the sum of r terms of the A.P., then Sp is equal to 


x is nth term of the given A.P. an = x find x .


Q.6


The sum of first 14 terms of an A.P. is 1050 and its 14th term is 140. Find the 20th term.


Which term of the  AP  3, 15, 27, 39, ...... will be 120 more than its 21st term?


If the sum of the first four terms of an AP is 40 and that of the first 14 terms is 280. Find the sum of its first n terms.


Show that a1, a2, a3, … form an A.P. where an is defined as an = 3 + 4n. Also find the sum of first 15 terms.


Find S10 if a = 6 and d = 3.


The famous mathematician associated with finding the sum of the first 100 natural numbers is ______.


Find the sum of all 11 terms of an A.P. whose 6th term is 30.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×