Q) Find the common difference of an A.P. whose first term is 8, the last term is 65 and the sum of all its terms is 730. Ans: In the AP question, we are given, a = 8 Last term Tn = 65, Sum of AP Sn = 730; We need to find value of […]
arithmatic progression
Q) In an AP, the sum of the first n terms is given by Sn = 6n – n2. Find its 30th term. Ans: VIDEO SOLUTION STEP BY STEP SOLUTIO We know that, the formula for the sum of the first n terms of an arithmetic progression (AP) is given by: Sn = [2a +
In an AP, the sum of the first n terms is given by Sn = 6n – n2. Find its 30th term. Read More »
Q) Deepa has to buy a scooty. She can buy scooty either making cashdown payment of ₹ 25,000 or by making 15 monthly instalments as below.Ist month – ₹ 3425, IInd month – ₹ 3225, IIIrd month – ₹ 3025, IVth month – ₹ 2825 and so on i. Find the amount of 6th instalment.ii.
Deepa has to buy a scooty. She can buy scooty either making cashdown payment of ₹ 25,000 Read More »
Q) India is competitive manufacturing location due to the low cost of manpower and strong technical and engineering capabilities contributing to higher quality production runs. The production of TV sets in a factory increases uniformly by a fixed number every year. It produced 16000 sets in 6th year and 22600 in 9th year. 1) In
India is competitive manufacturing location due to the low cost of manpower and Read More »
Q) Manpreet Kaur is the national record holder for women in the shot-put discipline. Her throw of 18.86m at the Asian Grand Prix in 2017 is the maximum distance for an Indian female athlete. Keeping her as a role model, Sanjitha is determined to earn gold in Olympics one day. Initially her throw reached 7.56m
Q) If pth term of an A.P. is q and qth term is p, then prove that its nth term is (p + q – n). Ans: We know that nth term of an A.P. = a + (n-1) d Therefore, pth term Tp = a + (p – 1) x d = q Similarly,
Q) Rohan repays his total loan of Rs.1,18,000 by paying every month starting with the first installment of Rs. 1,000. If he increases the installment by Rs. 100 every month, what amount will be paid by him in the 30th installment? What amount of loan has he paid after 30th installment? Ans: We can see
Q) The sum of first 15 terms of an A.P. is 750 and its first term is 15. Find its 20th term. Ans: Given that a = 15 and Sum of 15 terms of an A.P. S15 = 750 We know that sum of n terms of an A.P. Sn = (2a + (n-1) d)
Q) Which term of the A.P. : 65, 61, 57, 53,………… is the first negative term. Ans: This is A.P. of decreasing order. In the given A.P., we can see that: First term a = 65 and common difference d = -4 Let first negative term be nth term, say Tn We know that nth
Which term of the A.P. : 65, 61, 57, 53,………… is the first negative term. Read More »
Q) How many terms are there in an A.P. whose first and fifth terms are -14 and 2, respectively and the last term is 62. Ans: Let’s consider an A.P with first term as N1 and common difference as ‘d’. Next, we know that nth term of an A.P. = a + (n-1) d