WebSep 2, 2024 · 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 WebMar 23, 2024 · In an A.P. the sum of the first ten terms is -150 and the sum of its next ten terms is -550. Find first term of A.P. Verified 182.4k + views Hint: In the above equation we will use the formula of the sum of the first n terms of an A.P. which is as follows: S n = n 2 [ …

In an AP the sum of first ten terms is -150 and the sum of its next 10 …

WebExpert Answer Transcribed image text: 3. The 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 [5] 4. WebApr 8, 2024 · Given sum of first ten terms = − 150. We know that Sum of n terms of AP S n = n 2 [ 2 a + ( n − 1) d] Therefore, ⇒ S 10 = 10 2 [ 2 a + ( 10 − 1) d] ⇒ − 150 = 5 [ 2 a + 9 d] ⇒ … slow glycolytic fibers

In an AP, the sum of the first ten terms is -150 and the sum of its ...

WebMay 14, 2024 · Given: Sum of first ten terms that is, S 10 = -150 and Sum of next ten terms is -550. To find: The A.P. Solution: Let, first term = a Last term = a n We know in an A.P, a n = a + (n – 1) d. For n = 10. a n = a + (10 - 1)d. a n = a + 9d. We know, sum of n terms. s n = \(\frac{n}{2}[a + l]\). l and a n means the last term.. Put the value of l in (1),So, S 10 = … WebFeb 28, 2013 · In an A.P. the sum of first ten terms is –80 and the sum of next ten terms is –280. Find the A.P WebThe sum of the first five terms 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 terms. slow-going