DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : Three consecutive terms 2k +1, 3k+3and 5k 1 form an AP than k is equal to 6.
Reason : In an AP a,a +d , a+2d, .........., the sum to n terms of the AP be and d is constant.
DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : The sum of the first n terms of an AP is given by Sn = 3n2 4 . Then n its nth term an = 6n 7 .
Reason : n th term of an AP, whose sum to n terms is Sn , is given by an =S_{n}  S_{n}  1
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DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : Common difference of an AP in which a^{21} a^{7} = 84 is 14.
Reason : n th term of AP is given by a_{n} = a + (n  1)d
DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : Arithmetic between 8 and 12 is 10.
Reason : Arithmetic between two numbers ‘a ’ and 'b' is given as
Direction : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : Let the positive numbers a,b,c be in A.P., then 1/bc, 1/ac, 1/ab are also in A.P.
Reason : If each term of an A.P. is divided by abc, then the resulting sequence is also in A.P.
DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : Sum of first 10 terms of the arithmetic progression  0.5 ,  1.0,  1.5 , .......... is 27.5
Reason : Sum of n terms of an A.P. is given as where a = first term, d = common difference.
DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : The sum of the series with the nth term. t_{n} = (9  5n) is (465), when no. of terms n = 15 .
Reason : Given series is in A.P. and sum of n terms of an A.P. is
DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : If n ^{th} term of an A.P. is 7 4n , then its common differences is 4.
Reason : Common difference of an A.P. is given by d =a_{n + 1}  a_{n}
DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : If S_{n} is the sum of the first n terms of an A.P., then its n^{th} term an is given by a_{n} =S_{n}  S_{n}  1 .
Reason : The 10^{th} term of the A.P. 5, 8, 11, 14, .......... is 35.
DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : Sum of first hundred even natural numbers divisible by 5 is 500.
Reason : Sum of first n terms of an A.P. is given by where ℓ = last term.
518 tests

518 tests
