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## All Questions

#### In an AP, if d = –4, n = 7, an=4, then a is(A) 6 (B) 7 (C) 20 (D) 28

Given

Hence option D is correct

#### The sum of first five multiples of 3 is(A) 45(B) 55(C) 65(D) 75

Hence option A is correct.

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• Faculty Support #### (A) 19(B) 21(C) 38(D) 42

Hence option C is correct.

#### The sum of first 16 terms of the AP: 10, 6, 2... is(A) –320(B) 320(C) –352(D) –400

Hence option A is the correct answer.

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• Faculty Support #### If the first term of an AP is –5 and the common difference is 2, then the sum of the first 6 terms is(A) 0(B) 5(C) 6(D) 15

Hence option A is correct

#### The famous mathematician associated with finding the sum of the first 100 natural numbers is(A) Pythagoras(B) Newton(C) Gauss(D) Euclid

[C]

Famous mathematician gauss find the sum of the first 100 natural numbers.

According to which when he added the first and the last number in the series, the second and the second last number in the series, and so on. He get a sum of 101 and there are 50 pairs exist so the sum of 100 natural numbers is 50×101=5050.

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• Faculty Support #### The 4thterm from the end of the AP: –11, –8, –5, ..., 49 is(A) 37(B) 40(C) 43(D) 58

Hence option B is correct

#### If 7 times the 7thterm of an AP is equal to 11 times its 11th term, then its 18thterm will be(A) 7(B) 11(C) 18(D) 0

Hence option D is correct.

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• Faculty Support #### Two APs have the same common difference. The first term of one of these is –1 and that of the other is – 8. Then the difference between their 4th terms is(A) –1(B) – 8(C) 7(D) –9

Hence option (C) is correct

#### What is the common difference of an AP in which ?(A)  8(B) – 8(C) – 4(D)   4

Given,

Hence common difference is 8.  