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 … 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] ⇒ …
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. WebOct 20, 2024 · Let a be the first term and d be the common difference of the given AP . S₁₀ = -150. ⇒ Sn = n/2 [ 2a + (n-1)d] ⇒ S₁₀ = 10/2 [ 2a + ( 10 - 1 ) d ]. ⇒ -150= 10/2 [ 2a + 9d ] ⇒ -150 = 5 [ 2a + 9d ] ⇒ -30 = 2a + 9d ⇒2a + 9d = -30........... (1) Clearly, the sum 20 term = - 150 + (-550) . ⇒ S₂₀ = -700 ⇒ Sn = n/2 [ 2a + (n-1)d] flint ranch
In an AP, the sum of first ten terms is -150 and the sum of …
WebThe 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 terms. Solution: Given, the sum of the first five terms of an AP and the sum of the first seven terms of the same AP is 167. WebOct 20, 2024 · Let a be the first term and d be the common difference of the given AP . S₁₀ = -150. ⇒ Sn = n/2 [ 2a + (n-1)d] ⇒ S₁₀ = 10/2 [ 2a + ( 10 - 1 ) d ]. ⇒ -150= 10/2 [ 2a + 9d ] ⇒ … 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 A.P. - YouTube In an AP, the sum of first ten terms is -150 and the sum of its next ten... flint racial makeup