WebQ. If the first term of a GP is 5 and the sum of the first three terms is 31/ 5, find the common ratio. Q. 15. If the first term of a G.P. is 5 and the sum of the first three terms is 31/5 then find the common ratio. 16. In a GP, the ratio of the sum of first 3 terms to the sum of first 6 terms is 125:152. Find the common ratio of the GP. WebFind the 10thand nth term of GP. : 5, 25, 125, ……. First term (a) = 5 Common ratio (r) = = nth term in the GP (an) = arn-1 an = 5 (5 n-1 = 5n 10th term in the GP (a10) = ar10-1 …
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WebGiven series is 5, 10, 20, ... Here, a = 5, r = 2 Sum of n numbers = s n = 1275 As we know that, Sum of n terms of GP = s n = a ( r n − 1) r − 1; where r >1 s n = 5 ( 2 n − 1) 2 − 1 1275 = 5 × (2 n - 1) ⇒ 255 = (2 n - 1) ⇒ 2 n = 256 ⇒ 2 n = 2 8 ⇒ n = 8 Thus the correct answer is 8. Download Solution PDF Latest MP Police Constable Updates Webthe sequence 5,-25, 125, -625, is in geometric series first term a1= 5 common ratio r= -25/5 = -5 nth term = a1*r^(n-1) 10th term = 5 *(-5)^(10-1) Clarify mathematic equation Doing …
WebClick here👆to get an answer to your question ️ Find the 10^th term & nth term of the G.P. 5, 25, 125 . Solve Study Textbooks Guides. Join / Login >> Class 11 >> Applied … WebSolution: Given GP is 10, 30, 90, 270 and 810 First term, a = 10 Common ratio, r = 30/10 = 3 > 1 Number of terms, n = 5 Sum of GP is given by; S n = a [ (r n – 1)/ (r – 1)] S 5 = 10 [ …
WebFeb 26, 2024 · The general term of a geometric sequence is given by the formula: where is the initial term and the common ratio. Putting , and in the general term of a geometric … WebApr 21, 2024 · Here, first term a = 25 and common ratio r = -5. As we know that, if a 1 , a 2 , …., a n is a GP then the general term is given by: a n = a × r n - 1 where a is the first …
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 complicated problems. For example, the calculator can find the first term () and common ratio () if and . The calculator will generate all the work with detailed explanation.
WebJul 19, 2024 · A GP is given to us in this question, 5, 25, 125, 625. We have to find the 5^10 term of this question. We know that: First-term, a=5. The second term, ar=25 (5×5) … trucks with bale beds for sale in kansasWebExample 9 Find the 10th and nth terms of the G.P. 5, 25125, . 5, 25125, We know that an = arn 1 where an = nth term of GP n is the 24/7 Live Specialist Math can be a difficult … trucks with good gas mileage 4wdWebThe formula to find the sum to infinity of the given GP is: S ∞ = ∑ n = 1 ∞ a r n − 1 = a 1 − r; − 1 < r < 1. Here, S∞ = Sum of infinite geometric progression. a = First term of G.P. r = Common ratio of G.P. n = Number of terms. This formula helps in converting a recurring decimal to the equivalent fraction. trucks with big rimsWebA geometric progression (GP) can be written as a, ar, ar 2, ar 3, … ar n – 1 in the case of a finite GP and a, ar, ar 2,…,ar n – 1 … in case of an infinite GP. We can calculate the sum to n terms of GP for finite and infinite GP using some formulas. Also, it is possible to derive the formula to find the sum of finite and finite GP separately. trucks with bench seats in frontWebJun 11, 2024 · Find the 10th term of the geometric sequence 5, 25, 125, ... 2 See answers Advertisement bosebunir The rule of the geometric sequence is 5 raised to an x number. Therefore just do 5^10=9765625. All your essentially doing is raising the 5 to the 10th power. If you need to find any other number plug in x for whatever number you need. … trucks with best gas mileageWebOct 22, 2024 · Answer: GP - 5, 25, 125, 625........ has first term = a = 5 and common ratio = r= 5 Now let us assume that ; 5^10 is the nth term of given GP . So, Also we know that, so 5^10 will be the 10th term of given GP. Find Math textbook solutions? Class 10 Class 9 Class 8 Class 7 Class 6 Class 5 Class 4 Class 3 Class 2 Class 1 NCERT Class 9 … trucks with canopy for saleWebStep 2: 10th term of given geometric sequence From equation (1), nth term of the given series is a_n = 5^n Thus, 10th term (n = 10) A_ {10} = 5^ {10} or 5, 25, 125,.................. 10th term = ar^ {10 - 1} = 5 (5)^9 = 5^1* 5^9 \because a^m * a^n = a^ {m + n} = 5^ {1 + 9} = 5^ {10} Hence, nth term of G.P = 5^n 10th term of G.P = 5^ {10} trucks with fifth wheel hitch for rent