WebThe first,fifth and seventh terms of an arithmetic progression (AP) correspond to the first three consecutive terms of a decreasing Geometric Progression (GP).The first term of each progression is 64,the common difference of the AP is d and the common ratio of the GP is r. (a) (i) Write two equations involving d and r. Web19 dec. 2024 · This is an A.P. with first term a = 252, common difference = 3 and last term = 999. Let there be n terms in this A.P. Then, ⇒ a n = 999 ⇒ a + (n – 1)d = 999 ⇒ 252 + (n – 1) × 3 = 999 ⇒ n = 250 ∴ Required sum = S n = [a + l] = [252 + 999] = 156375 Example 7: How many terms of the series 54, 51, 48, …. be taken so that their sum is 513 ?
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WebThe ratio of 7th to the 3rd term of an AP is 12 : 5. Find the ratio 13th to the 4th term. Medium. View solution > View more. More From Chapter. Sequences and series. View … WebCoronavirus disease 2024 (COVID-19) is a contagious disease caused by a virus, the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). The first known case was identified in Wuhan, China, in December 2024. The disease quickly spread worldwide, resulting in the COVID-19 pandemic.. The symptoms of COVID‑19 are variable but often … shrink italiano
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WebIn the AP, a = -8. The ratio of the 7th and the 9th terms is a+6d : a+8d = 5:8, or 8 (a+6d) = 5 (a+8d) or 8a + 48d = 5a + 40d, or 48d-40d = 5a-8a 8d = -3a, or d = -3a/8 = (-3)* (-8)/8 = 3. The common difference is 3. And the AP is -8, -5, -2, 1, 4, 7, 10, 13, 16 The 7th term is 10 and the 9th term is 16 and their ratio is 10:16 or 5:8. Correct. 9 WebTerm to be found is 11 th term. So n = 11. Hence, the 11 th term for the given progression is, T n = a + (n - 1)d. T 11 = 2 + (11 - 1)4 = 2 + 40 = 42. Thus, the 11 th term of given AP … Web26 aug. 2024 · The ratio of the 11th term of the 18th term of an AP is 2:3. Find the ratio of the 5th term to the 21st term and also the ratio of the sum of the first five terms to the … shrink iphone video