English

Choose the Correct Alternative Answer For the Following Question .(1) the Sequence –10, –6, –2, 2,...(A) is an A.P.,Reason D = -16 (B) is an A.P Reason D = (C) is an A.P.,Reason D = -4 - Algebra

Advertisements
Advertisements

Question

Choose the correct alternative answer for  the following question .
The sequence –10, –6, –2, 2,...

Options

  • is an A.P.,Reason d = -16

  • is an A.P Reason d = 4

  • is an A.P.,Reason d = -4

  • is not an A.P.

MCQ

Solution

The given sequence is  –10, –6, –2, 2,...
Here, 
First term (a) = a1 = –10
Second term = a2 = –6
Third term = a3 = –2
Common difference (d) = a2 – a1 = –6 – (–10) = 4
                                      = a3 – a2 = –2 – (–6) = 4
Since, a2 – a1 = a3 – a2
Thus, the given sequence is an A.P.

shaalaa.com
  Is there an error in this question or solution?
Chapter 3: Arithmetic Progression - Problem Set 3 [Page 78]

RELATED QUESTIONS

An A.P. consists of 50 terms of which 3rd term is 12 and the last term is 106. Find the 29th term of the A.P.


A sum of Rs 700 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is Rs 20 less than its preceding prize, find the value of each of the prizes.


Find the sum of the following arithmetic progressions: 50, 46, 42, ... to 10 terms


Find the sum of the following arithmetic progressions:

1, 3, 5, 7, ... to 12 terms


Find the sum of first n odd natural numbers


Find the sum of all integers between 100 and 550, which are divisible by 9.


Find the sum of the first 15 terms of each of the following sequences having the nth term as

bn = 5 + 2n


The 24th term of an AP is twice its 10th term. Show that its 72nd term is 4 times its 15th term. 


If the numbers a, 9, b, 25 from an AP, find a and b.


In an A.P. 17th term is 7 more than its 10th term. Find the common difference.


The Sum of first five multiples of 3 is ______.


Find the sum  (−5) + (−8)+ (−11) + ... + (−230) .


If four numbers in A.P. are such that their sum is 50 and the greatest number is 4 times, the least, then the numbers are


The common difference of the A.P.

\[\frac{1}{3}, \frac{1 - 3b}{3}, \frac{1 - 6b}{3}, . . .\] is 
 

Find the value of x, when in the A.P. given below 2 + 6 + 10 + ... + x = 1800.


Find the sum of first 1000 positive integers.

Activity :- Let 1 + 2 + 3 + ........ + 1000

Using formula for the sum of first n terms of an A.P.,

Sn = `square`

S1000 = `square/2 (1 + 1000)`

= 500 × 1001

= `square`

Therefore, Sum of the first 1000 positive integer is `square`


Determine the sum of first 100 terms of given A.P. 12, 14, 16, 18, 20, ......

Activity :- Here, a = 12, d = `square`, n = 100, S100 = ?

Sn = `"n"/2 [square + ("n" - 1)"d"]`

S100 = `square/2 [24 + (100 - 1)"d"]`

= `50(24 + square)`

= `square`

= `square`


Yasmeen saves Rs 32 during the first month, Rs 36 in the second month and Rs 40 in the third month. If she continues to save in this manner, in how many months will she save Rs 2000?


The sum of 41 terms of an A.P. with middle term 40 is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×