STD 10 Maths Total Marks : 10
Recapitulation -1
➤I Choose the right answer from the given options. [1 Marks Each] [4]
1. If the common difference of an A.P. is 5, then what is a18 − a13 ?
(A) 5 (B) 20 (C) 25 (D) 30
2. If a, (a − 2) and 3a are in A.P, then the value of a is
(A) -3 (B) -2 (C) 3 (D) 2
3. Find how many terms are there in the A.P. 16, 24, 32, … … , 96 .
(A) 10 (B) 11 (C) 12 (D) 14
4. Find the sixteenth term of the A.P. −10, −6, −2, 2, …
(A) 10 (B) 20 (C) 40 (D) 50
➤II A statement of Assertion (A) is followed by a statement of Reason (R). Choose the
correct option. [2]
5. Statement A (Assertion) : The common difference of the A.P. 19, 18, 17, ... is 1.
Statement R (Reason) : Let a , a , a , a , … is an A.P. Then, common difference of
1 2 3 4
this A.P. will be the difference between any two consecutive terms, i.e., common
difference (d) = a2 − a1 or a3 − a2 or a4 − a3 and so on.
(A) Both assertion (A) and reason ( R ) are true and reason (R) is the correct
explanation of assertion (A).
(B) Both assertion (A) and reason ( R ) are true and reason (R) is not the correct
explanation of assertion (A).
(C) Assertion (A) is true but reason (R) is false.
(D) Assertion (A) is false but reason (R) is true.
6. Statement A (Assertion): Sum of first 20 multiples of 4 is 480 .
Statement R (Reason) : In an A.P., sum of n terms, Sn =
n
2
[a + l] where, n, a and l
are number of terms, first term and last term respectively.
(A) Both assertion (A) and reason ( R ) are true and reason (R) is the correct
explanation of assertion (A).
(B) Both assertion (A) and reason ( R ) are true and reason (R) is not the correct
explanation of assertion (A).
(C) Assertion (A) is true but reason (R) is false.
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Recapitulation -1
➤I Choose the right answer from the given options. [1 Marks Each] [4]
1. If the common difference of an A.P. is 5, then what is a18 − a13 ?
(A) 5 (B) 20 (C) 25 (D) 30
2. If a, (a − 2) and 3a are in A.P, then the value of a is
(A) -3 (B) -2 (C) 3 (D) 2
3. Find how many terms are there in the A.P. 16, 24, 32, … … , 96 .
(A) 10 (B) 11 (C) 12 (D) 14
4. Find the sixteenth term of the A.P. −10, −6, −2, 2, …
(A) 10 (B) 20 (C) 40 (D) 50
➤II A statement of Assertion (A) is followed by a statement of Reason (R). Choose the
correct option. [2]
5. Statement A (Assertion) : The common difference of the A.P. 19, 18, 17, ... is 1.
Statement R (Reason) : Let a , a , a , a , … is an A.P. Then, common difference of
1 2 3 4
this A.P. will be the difference between any two consecutive terms, i.e., common
difference (d) = a2 − a1 or a3 − a2 or a4 − a3 and so on.
(A) Both assertion (A) and reason ( R ) are true and reason (R) is the correct
explanation of assertion (A).
(B) Both assertion (A) and reason ( R ) are true and reason (R) is not the correct
explanation of assertion (A).
(C) Assertion (A) is true but reason (R) is false.
(D) Assertion (A) is false but reason (R) is true.
6. Statement A (Assertion): Sum of first 20 multiples of 4 is 480 .
Statement R (Reason) : In an A.P., sum of n terms, Sn =
n
2
[a + l] where, n, a and l
are number of terms, first term and last term respectively.
(A) Both assertion (A) and reason ( R ) are true and reason (R) is the correct
explanation of assertion (A).
(B) Both assertion (A) and reason ( R ) are true and reason (R) is not the correct
explanation of assertion (A).
(C) Assertion (A) is true but reason (R) is false.
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