IWRITE MATH 10 PDF SERIES

The first term, common difference and last term of an AP are 12, 6 and 252 respectively. Thus, the sum of 12 terms of given AP is 636. How many terms of the AP: 9, 17, 25, … must be taken to give a sum of 636? Putting the value of d in equation (i), we have Now, subtracting equation (ii) from (i), we get Question: In an AP: given l = 28, s = 144, and there are total 9 terms.

IWRITE MATH 10 PDF SERIES

Let nth terms for two given series be a n and a’ n Question: What is the common difference of an AP in which a 21 – a 7 = 84?įor what value of n, are the n th terms of two APs 63, 65, 67,… and 3, 10, 17,… equal? Natural numbers between 101 and 999 divisible by both 2 and 5 are 110, 120, … 990. ⇒ n = 2 × 8 = 16 substituting the value of n in (i)įind the number of natural numbers between 101 and 999 which are divisible by both 2 and 5. Let the first term be ‘a’ and common difference be ‘d’. If the sum of all its terms is 400, find its common difference. Question: The first and the last terms of an AP are 5 and 45 respectively. Which forms a n AP with a = 10,800 and d = 800.įind the 20 th term from the last term of the AP: 3, 8, 13, …, 253.Īnd, common difference d = 2 nd term – 1 st term = 8 – 3 = 5 (ii) The amount of money in the account every year, when 10,000 is deposited at simple interest at 8% per annum.

(i) The cost of digging a well after every meter of digging, when it costs 150 for the first meter and rises by 50 for each subsequent meter. Question: In which of the following situations, does the list of numbers involved to make an AP? If yes, give a reason. ⇒ d = a 2 – a 1 = (3a + b) – (a + b) = 2a Extra Questions for Class 10 Maths Chapter 5 Short Answer Type Question: If the sum of the first p terms of an AP is ap² + bp, find its common difference.Ī p = s p – s p-1 = (ap 2 + bp). Question: In an AP, if a = 1, a n = 20, and s n = 399, then find n.įind the 9th term from the end (towards the first term) of the AP 5, 9, 13, …, 185. so, sum of odd and even must be odd whereas 144 is a n even number. No, because here a = 3 a n odd number and d = 4 which is even. Is 144 a term of the AP: 3, 7, 11, …? Justify your answer. Question: Which of the following can be the nth term of an AP?Ĥn + 3 because n th term of a n AP ca n only be a linear relation in n as a n = a + (n – 1)d. Question: If 7 times the 7th term of an AP is equal to 11 times its 11th term, then find its 18th term. Find the 25 th term of the AP: -5, −52 , 0, −52 ……įind the common difference of an AP in which a 18 – a 14 = 32.

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