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Arithmetic Progressions

Short Answer Type

221.

The 10^th term from the end of the A .P., 8,10, 12,........ 126 is
(a) 107 (b) 106 (c) 108 (d) 109

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222.

The first term, common difference and last term of an A .P. are 12, 6 and 252 respectively. The sum of all terms is
(a) 5410 (b) 5411 (c) 5412 (d) 5413

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223.

The sum of all two digit positive numbers divisible by 3 is
(a) 1664 (b) 1665 (c) 1666 (d) 1600

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224. If k^th term of an $straight A. space straight P. space 5 1 half comma space 11 comma space 16 1 half comma space 22 comma space......$ is 550 then the value of 'K' is
(a) 99 (b) 101 (c) 100 (d) 102

550 equals 5 1 half plus left parenthesis straight n minus 1 right parenthesis cross times 11 over 2 rightwards double arrow 550 minus 11 over 2 equals left parenthesis straight n minus 1 right parenthesis 11 over 2 rightwards double arrow fraction numerator 1100 minus 11 over denominator 2 end fraction equals left parenthesis straight n minus 1 right parenthesis cross times 11 over 2 rightwards double arrow 1089 over 11 equals straight n minus 1 rightwards double arrow 100

Ans. (c)

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225.

If a₆ – a₅ is 200 then the value of a₇ – a₆ of the same A .P. will be
(a) 100 (b) 400 (c) 200 (d) 300

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226.

Find the sum of three numbers is an A .P. is 27 and their product is 405. The numbers are : (a) (3,9,15) (b) (15, 9, 3) (c) both (a) and (b) (d) (3, 9, 12)

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227. The sum of all the natural numbers less than 100 which arc divisible by 6 is (a) 815 (b) 817 (c) 812 (d) 816

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228. In which of the following situational, does the list of numbers involved make an arithmetic progression, and why?

The cost of digging a well for the first metre is Rs. 150 and rises by Rs. 50 for each succeeding metre.

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229. Write first four terms the A .P. when the first term ‘a’ and the common difference ‘d’ are given as follows :

a – 10, d = 10

114 Views

230. Write first four terms the A .P. when the first term ‘a’ and the common difference ‘d’ are given as follows :

a = –2, d = 0

98 Views

Previous Year Papers

Test Series

Test Yourself

Short Answer Type

224. If kth term of an is 550 then the value of 'K' is (a) 99 (b) 101 (c) 100 (d) 102

224. If k^th term of an $straight A. space straight P. space 5 1 half comma space 11 comma space 16 1 half comma space 22 comma space......$ is 550 then the value of 'K' is
(a) 99 (b) 101 (c) 100 (d) 102