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Standard X

Mathematics

Formula for Sum of n Terms of an AP

Question 5 Th...

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Question 5
The first four terms of an AP whose first term is – 2 and the common difference is – 2 are

A) – 2, 0, 2, 4
B) – 2, 4, –8, 16
C) – 2, – 4, – 6 , – 8
D) – 2, – 4, – 8, – 16

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Solution

Given, the first term, a = - 2 and the common difference, d = -2.
The first four terms of the AP will be a, a + d, a + 2d and a + 3d.
Then the first four terms of the AP are :
$a, a + d, a + 2 d, a + 3 d$
$= - 2, - 4, - 6, - 8, - 10$

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Q. Question 5
The first four terms of an AP whose first term is – 2 and the common difference is – 2 are

A) – 2, 0, 2, 4
B) – 2, 4, –8, 16
C) – 2, – 4, – 6 , – 8
D) – 2, – 4, – 8, – 16

Q. Question 33
The sum of the first n terms of an AP whose first term is 8 and the common difference is 20 is equal to the sum of first 2n terms of another AP whose first term is –30 and the common difference is 8. Find n.

Q. The first four term of an AP whose first term is

- 2

and the common difference is

- 2

are

Q. Choose the correct alternative answer for each of the following sub questions.
(1) The sequence –10, –6, –2, 2,...

(A) is an A.P., Reason d= –16	(B) is an A.P., Reason d= 4
(C) is an A.P., Reason d= –4	(D) is not an A.P.

(2) First four terms of an A.P. are ....., whose first term is –2 and common difference is –2.

(A) –2, 0, 2, 4	(B) –2, 4, –8, 16
(C) –2, –4, –6, –8	(D) –2, –4, –8, –16

(3) What is the sum of the first 30 natural numbers ?

(A) 464

(B) 465

(D) 461

(4) For an given A.P. t₇ = 4, d = –4, n = 101, then a = ....

(A) 6

(B) 7

(D) 28

(5) For an given A.P. a = 3.5, d = 0, n = 101, then t_n = ....

(A) 0

(B) 3.5

(D) 14.5

(6) In an A.P. first two terms are –3, 4 then 21^st term is ...

(A) –143

(B) 143

(D) 17

(7) If for any A.P. d = 5 then t₁₈ – t₁₃ = ....

(A) 5

(B) 20

(D) 30

(8) Sum of first five multuiples of 3 is...

(A) 45

(B) 55

(D) 75

(9) 15, 10, 5,... In this A.P sum of first 10 terms is...

(A) –75

(B) –125

(D) 125

(10) In an A.P. 1^st term is 1 and the last term is 20. The sum of all terms is = 399 then n = ....

(A) 42

(B) 38

(D) 19

Q. Which of the following is a term of an AP whose first term is 2 and the common difference is 4?

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Formula for Sum of n Terms of an AP

Standard X Mathematics

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Question 5 The first four terms of an AP whose first term is – 2 and the common difference is – 2 are A) – 2, 0, 2, 4 B) – 2, 4, –8, 16 C) – 2, – 4, – 6 , – 8 D) – 2, – 4, – 8, – 16

Given, the first term, a = - 2 and the common difference, d = -2. The first four terms of the AP will be a, a + d, a + 2d and a + 3d. Then the first four terms of the AP are : a,a+d,a+2d,a+3d =−2,−4,−6,−8,−10

Question 5
The first four terms of an AP whose first term is – 2 and the common difference is – 2 are

A) – 2, 0, 2, 4
B) – 2, 4, –8, 16
C) – 2, – 4, – 6 , – 8
D) – 2, – 4, – 8, – 16

Given, the first term, a = - 2 and the common difference, d = -2.
The first four terms of the AP will be a, a + d, a + 2d and a + 3d.
Then the first four terms of the AP are :
$a, a + d, a + 2 d, a + 3 d$
$= - 2, - 4, - 6, - 8, - 10$