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Mathematics : Arithmetic Progressions

Short Answer Type

41.

Find the number of terms in each of the following APs :

$space space space 18 comma space 15 1 half comma space 13 comma space....... comma space minus 47$

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42.

Check whether – 150 is a term of the AP : 11, 8, 5, 2 . .

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43.

Find the 31st term of an AP whose 11th term is 38 and the 16th term is 73.

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44.

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

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45. If the 3rd and 9th terms of an A .P. are 4 and -8 respectively, which term is zero?

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46. The 17th term of an A .P. exceeds the 10th term by 7. Find the common difference.

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47.

Which term of the AP : 3, 15, 27, 39, . . . will be 132 more than its 54th term?

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48.

Two APs have the same common difference. The difference between their 100th terms is 100, what is the difference between their 1000th terms?

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49. How many three-digit numbers are divisible by 7?

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50. How many multiples of 4 lies between 10 and 250?

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