WebThe third term of an AP is four times the sixth term and the sum of the first ten terms is 150. Find a) The first term and the common difference b) The least number of terms of the Arithmetic Progression which must be taken for the sum to be negative Expert Solution Want to see the full answer? Check out a sample Q&A here See Solution star_border WebSep 2, 2024 · Best answer i. Sum of first five terms = 150 Sum of the five consecutive terms of arithmetic sequence is five times of its middle term. Third term = 150 5 = 30 150 5 = 30 ii. First term + Tenth term = Second term + Nineth term = Third term + Eighth term = Fourth term + Seventh term = Fifth term + Sixth term = 550 5 = 110 550 5 = 110
In an A.P., the sum of the first 10 terms is 150, and the …
WebMar 19, 2024 · Given that sum of the first 10 terms of an A.P. is -150. S10 = -150 And the sum of next 10 terms is -550. So, the sum of first 20 terms = Sum of first 10 terms + sum of next 10 terms S20 = -150 + -550 = -700 Now, having S10 = 10 2 10 2 (2a + (10 − 1)d) -150 = 5 (2a + 9d) -30 = 2a + 9d 2a + 9d = -30 . . . . (1) And, Webgiven S10 = a1+a2+...+10 = 150. But we know that: s10 = (a1+a10)*10/2 = 150. ==> a1+a10 = 150/5. ==> a1+a10 = 30. ==> a10 = 30 - a1...... (1) But a10 = a1 + 9*3 = a1 + 27. ==> a10 = … ecce show
Sum of N terms of an AP - Formula, Examples Sum of AP Formula - Cu…
WebMar 12, 2024 · Hence the sum of first n terms in an AP is given by the formula: S = n 2 [ 2 a + ( n − 1) d] Learn about Harmonic Progression Sum of N terms of Arithmetic Progression Formula The formula for the sum of n terms in an arithmetic progression is S = n 2 [ 2 a + ( n − 1) d] Where S = sum of the series n = nth term. a = first term d = common difference. WebThe sum of n terms of an AP can be found using one of the following formulas: S n = n/2 (2a+ (n−1)d) S n = n/2 (a 1 +a n) Here, a = a 1 = the first term, d = the common difference, n = number of terms, a n = n th term, S n … WebIn an Ap of 50 terms the sum of first 10 terms is 210 and sum of its 15 terms is 2565.find the ap Report ; Posted by Amena Haseen 5 years, 5 months ago. CBSE > Class 10 > Mathematics ... Xi 0-25 25-50 50-75 75-100 100-125 125-150 150- 175 xi 4 8 x 15 10 7 5 and median is 90 find x. Report ; Posted by Manas Dhiman 1 day, 18 hours ago. ecce romani workbook answers