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10th Grade > Mathematics

ARITHMETIC PROGRESSIONS MCQs

Total Questions : 107 | Page 2 of 11 pages
Question 11.

Find the 20th term from the last term of the AP : 3, 8, 13, . . ., 253.

  1.    148
  2.    158
  3.    168
  4.    178
 Discuss Question
Answer: Option B. -> 158
Question 12.

The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first terms of the AP.

  1.    13
  2.     – 13 
  3.    8
  4.     – 8 
 Discuss Question
Answer: Option B. ->  – 13 
Question 13.

Find the sum of the first 40 positive integers divisible by 6.

  1.    2920
  2.    3920
  3.    4920
  4.    5920
 Discuss Question
Answer: Option C. -> 4920
Question 14.

Find the sum of the first 15 multiples of 8.

  1.    950
  2.    960
  3.    970
  4.    980
 Discuss Question
Answer: Option B. -> 960
Question 15.

Find the sum of the odd numbers between 0 and 50.

  1.    605
  2.    615
  3.    625
  4.    635
 Discuss Question
Answer: Option C. -> 625
Question 16.

The 16 th term of the A.P. 5, 7,  9, 11,  13 , ……..   is:

  1.    15
  2.    25
  3.    35
  4.    45
 Discuss Question
Answer: Option C. -> 35
Question 17.

Which term of the A.P 2, 7, 12, 17, …. is 87 ?

  1.    18 th
  2.    19 th
  3.    20 th
  4.    21 th
 Discuss Question
Answer: Option A. -> 18 th

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

Formula:
The nth term of an arithmetic progression (A.P) can be expressed as:

a_n = a_1 + (n-1)d

Where,

a_n = nth term

a_1 = First term

d = Common difference

Given:

A.P = 2, 7, 12, 17, ….

Therefore,

a_1 = 2

d = 5

We are required to find the 18th term.

a_18 = 2 + (18-1)5

a_18 = 87

Hence, the 18th term of the given arithmetic sequence is 87.

Therefore, option A is correct.

If you think the solution is wrong then please provide your own solution below in the comments section .

Question 18.

If the 4th term of an arithmetics progression is 14 and its 12 th term is 70 then  find its first term. 

  1.    – 10 
  2.    – 7
  3.    10
  4.    7
 Discuss Question
Answer: Option B. -> – 7
Question 19.

  1. Which term of the series 72 + 63 + 54 + …….. is zero .

  1.    7th
  2.    8th
  3.    9th
  4.    10th
 Discuss Question
Answer: Option C. -> 9th
Question 20.

How many3- digite numbers are divisible by 6

  1.    150
  2.    152
  3.    154
  4.    156
 Discuss Question
Answer: Option A. -> 150

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