In an ap the sum of first 10 terms is - 150
WebJul 29, 2024 · In an AP, the sum of first ten terms is -150 and the sum of its next ten terms is -550. Find the A.P.I have provided the easiest solution of above question, ... WebIn an AP, the first term is −4, the last term is 29 and the sum of all its terms is 150. Find its common difference. [CBSE 2011] Open in App. Solution. Suppose there ... The sum of the first 9 terms of an AP is 81 and that of its first 20 terms is 400. Find the first term and the common difference of the AP. [CBSE 2009] View More.
In an ap the sum of first 10 terms is - 150
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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 = 27 +...
WebThe sum of first 10 terms of an AP is -150 and the sum of its next 10 terms is -550. Find the AP. Solution Let a be the first term and d be the common difference of the AP. Then, It is … WebThe formula to find the sum of n terms in AP is S n = n/2 (2a+(n−1)d), in which a = first term, n = number of terms, and d = common difference between consecutive terms. What is the Sum of First n Terms of an AP: a, …
WebApr 2, 2024 · The median of the distribution given below is 14.4. Find the values of x and y, if the sum of frequency is 20. Find the common difference ' d ' of an AP whose first term is 10 and the sum of the first 14 terms is 1505 . For what value of ' n ', are the nth terms of the APs : 9,7,5,….. and 15,12,9,…. the same? WebFeb 17, 2024 · Sum of first 10 terms = -150. hence we have (10/2) [ 2a + 9d ] = -150 or 2a + 9d = -30 ..................... (1) next 10 terms gives total = -550 . Hence sum of 20 terms = -150 …
WebOpen in App Solution Verified by Toppr From the question it is given that, The sum of the first 10 terms =−150 The sum of the next 10 terms =−550 A.P =? We know that, Sn …
WebOct 10, 2024 · In an AP of 50 terms, the sum of first 10 terms is 210 and the sum of its last 15 terms is 2565. Find the A.P. The sum of the first five terms of an AP and the sum of … rdp without nlaWebApr 4, 2024 · To write the sum of first ‘n’ terms of the AP, use the formula S n = n 2 [ 2 a + ( n − 1) d]. Write equations based on the data given in the question. Simplify the equations to calculate the values of variables ‘a’ and ‘d’ and thus, … how to spell girlieWebIn an AP, the sum of first ten terms is -150 and the sum of next ten terms is -550. Find the AP. how to spell giraffeWebSep 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 how to spell girls name abbyWebAnswer (1 of 5): 15+30+45 … +150 is an AP, whose first term, a = 15 and the common difference = 15. Tn = 150 = a+(n-1)d = 15 + (n-1)*15, or dividing right through by 15, 10 = 1 + (n-1), or n = 10 Sn = (n/2)[2a + (n-1)d] S10= (10/2)[2*15 + … rdp without locking screen windows 10WebApr 15, 2024 · Best answer Let d be the common difference. Given: first term = a = -4 last term = l = 29 Sum of all the terms = Sn = 150 Sn = n/2 [a + l] 150 = n/2 [-4 + 29] n = 12 There are 12 terms in total. Therefore, 29 is the 12th term of the AP. Now, 29 = -4 + (12 – 1)d 29 = -4 + 11d d = 3 The common difference is 3. ← Prev Question Next Question → rdp with screen captureWebThe sum of the first five terms of an AP and the sum of the first seven terms of the same AP is 167. If the sum of the first ten terms of this AP is 235, find the sum of its first twenty … how to spell giraffe animal