WebSolution Verified by Toppr Correct option is B) a 1+a 5+a 10+a 15+a 20+a 24=225 Now we know that a r+a n−r=a r+1+a n−(r+1) Here n=25 Hence, a 1+a 5+a 10+a 20+a 24=225 (a 1+a 24)+(a 5+a 20)+(a 10+a 15)=225 3k=225 where k=a r+a n−r, 1≤r≤24 Or k= 3225=75 Or a 1+a 24=75 .... (i) Now a 1+a 2+a 3+..a 24 = 2n(a 1+a n) WebFind the 12th term of a G.P. whose 8th term is 192 and the common ratio is 2. Solution Let a be the first term of given G.P. Here r= 2 and A8 = 192 ar8−1 =192 ⇒a×(2)7 =192 ⇒ a= 192 …
n-th Term of a Geometric Sequence - Varsity Tutors
WebJul 12, 2024 · Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get … WebGeometric sequences calculator. This tool can help you find term and the sum of the first terms of a geometric progression. Also, this calculator can be used to solve more … first time tattoo ideas for women
Find a12 given the geometric sequence 2, -6, 18, -54,
WebAug 14, 2024 · To find the common ratio divide the next term by the previous term That's r = 18/-6 = - 3 or -54/18 = - 3 Since we are finding the 12th term n = 12 Substitute these values into the above formula We have We have the final answer as A (12) = 1,062,882 Hope this helps you Advertisement Next WebDec 19, 2024 · General form is an = a1·rn-1. To find r, the common ratio, take the ratio of the two given terms: a 12 = a 1 ·r 11 = 160. a 5 = a 1 ·r 4 = 5/4. a 12 /a 5 = 160/ (5/4) = a 1 ·r 11 … WebWrite first four terms of the A.P, when the first term a and common difference d are given as follow. a = 1.25, d = 0.25 Sol: a1 = a = 1.25, d = 0.25 a2 = a + d = 1.25 0.25 = 1. 50 a3 = a + 2d = 1.25 + 2 (-0.25) = 1.75 a4 = a + 3d = 1.25 + 3 (-0.25) = 2.00 AP = -1.25, - 1.5, - 1.75, -2. 3. Is the following forms AP? campgrounds in laurel mississippi