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Arithmetic Progression - 4
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Arithmetic Progression - 4

## Bharat Gupta is teaching live on Unacademy Plus

Bharat Gupta
Engineer by degree Mathematician by Heart. Having 22 years of teaching experience. Search me on Youtube for more videos.

U
nice mam
One doubt sir. Please help me. If the sum of first p terms of an AP is same as the sum of its first q terms, show that the sum of the first (p+q) terms is zero.
sir in first question, for even A.P the nth term should be 2n, and for odd A.P the nth term should be 2n-1. Isn't it?
Could not understand last 2 questions .
10:15 sir in previous ques we assume (n-1)/2 = m-1 not for only m so how can we assume or equate in dis ques (m-1)/2 = only for m
1. SEQUENCE AND SERIES Class 4 (Arithmetic Progression)

2. ARITHMETIC PROGRESSION nth term of an Arithmetic Progression d. = a commo n Sum of n term of an Arithmetic Progression 2. a f

3. If the sum of the first n even natural numbers is equal to k times the sum of first n odd natural numbers, then k is equal to a. n+1 b. 2-1 C. n+1 d. 2n A man arranges to pay off a debt of Rs. 3600 by 40 annual instalments which are in A.P. When 30 of the instalments are paid he dies leaving one third of the debt unpaid. The value of the 8th instalment is a. Rs. 35 b. Rs.50 c. Rs.65 d. None of these If the ratio of the sum p terms and q terms of an AP. is 2p2; 3g? , then the ratio of its 10th and 15th terms is , 2 : 3 b. 9 14 . 38:87 d. 57: 58 If the ratio of the sum m terms and n terms of an A.P. is m2; n, then the ratio of its mth and nth terms is b. (m-1) (n-1) c. (2m-1): (2n-1) d. none of these

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5. If the sum of the first n even natural numbers is equal to k times the sum of first n odd natural numbers, then k is equal to b. 2-1 n+1 2n n+1 d. a. C.

6. If the sum of the first n even natural numbers is equal to k times the sum of first n odd natural numbers, then k is equal to b. 2-1 n+1 2n n+1 d. a. Sum a n even 2n2 2n

7. A man arranges to pay off a debt of Rs. 3600 by 40 annual instalments which are in . . When 30 of the instalments are paid he dies leaving one third of the debt unpaid. The value of the 8th instalment is a. Rs. 35 b. Rs.50 c. Rs.65 d. None of these

8. A man arranges to pay off a debt of Rs. 3600 by 40 annual instalments which are in . . When 30 of the instalments are paid he dies leaving one third of the debt unpaid. The value of the 8th instalment is a. Rs. 35 b. Rs.50 c. Rs.65 d. None of these 3

9. A man arranges to pay off a debt of Rs. 3600 by 40 annual instalments which are in . . When 30 of the instalments are paid he dies leaving one third of the debt unpaid. The value of the 8th instalment is a. Rs. 35 b. Rs.50 c. Rs.65 d. None of these -( 6 S loda 20

10. If the ratio of the sum p terms and q terms of an A.P. is 2p2: 3q2, then the ratio of its 10th and 15th terms is . 2 : 3 b. 9 14 c. 38:87 d. 57 58

11. If the ratio of the sum p terms and q terms of an A.P. is 2p2: 3q2, then the ratio of its 10th and 15th terms is . 2 : 3 b. 9 14 c. 38: 87 d. 57: 58 common - to :- and S

12. If the ratio of the sum m terms and n terms of an A.P. is m2 n2, then the ratio of its mth and nth terms is c. (2m-1) (2n-1) d. none of these Tn