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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

Solution not provided.
Ans. (c)

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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

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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

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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

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Previous Year Papers

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Test Yourself

Short Answer Type

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

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