WebThe 5th term of a GP is ar^4 = 81 … (1) The 8th term of a GP is ar^7 = 2187 … (2) Divide (2) by (1) to get r^3 = 2187/81 = 27, or r = 3 and a = 1 The GP has the first term as 1 and the common ratio as 3. More answers below Gary Roberts Studied at Folsom Lake College Author has 159 answers and 156.9K answer views 5 y WebIt is given that the first term of G.P is a 1=729 and the second term is a 2=243, therefore, r= …
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WebSum Answer the following: If for a G.P. t 3 = 1 3, t 6 = 1 81 find r Advertisement Remove all ads Solution Given, t 3 = 1 3, t 6 = 1 81 t n = ar n–1 ∴ t 3 = ar 2 ∴ ar 2 = 1 3 ∴ a = r 1 3 r 2 ... (i) Also, t 6 = ar 5 ∴ ar 5 = 1 81 ∴ r r 1 3 r 2 × r 5 = 1 81 ... [From (i)] ∴ r 3 = 1 27 ∴ r = 1 3 Concept: Geometric Progression (G. P.) WebAug 17, 2024 · Equation of nth term in GP: Tn = (a*r)^(n-1) t2 = 24 that means a*r = 24 t5 = … onsite registration management
The second term of a G P is 24 and the fifth term is 81. The series …
WebThe fifth term of a G.P. is 81 and its second term is 24. find the geometric progression. Advertisement Remove all ads. Solution Show Solution. Let the first term of the G.P. be a and its common ratio be r. 5 th term = 81 ⇒ ar 4 = 81. 2 nd term = 24 ⇒ ar = 24. Now, `"ar"^4/"ar"=81/24` `=> r^3=27/8` `=>r =3/2` WebPutting it all together, if G24 has 4 subgroups of order 3 and 3 subgroups of order 8, then G24 is isomorphic to S4. Suppose G24 has 4 G3 subgroups. The natural conjugacy homomorphism G24 ---> S4 has (normal) kernel of size 1,2,4, or 8. If its has size eight or two then, by 1 and 4, G24 has 1 subgroup of order 8. WebClick a number and then click fraction bar, then click another number. ... Fraction format button is used to work with all fractions. Also to change a decimal of the form 0.5 to the fraction 1/2, or change a decimal of the form 1.75 to a mixed number of the form 1 3/4 or to the fraction 7/4, or a fraction of the form 7/4 to the mixed number 1 3 ... on site registration form