math
posted by alex .
Find the general term:
4/3, 7/7, 10/11, 13/15,...

math 
Jai
note that the next term has a numerator 3 greater than the previous and has denominator 4 greater than the previous. thus, if 4/3 is the first term,
(4 + 3(n1))/(3 + 4(n1))
where n = nth term (if 1st, n=1, if 2nd, n=2, etc.)
or simplifying,
(3n + 1)/(4n  1)
hope this helps~ :)
Respond to this Question
Similar Questions

math+ check!
the following sequence is geometric: 4/3, 4/9, 4/27.... determine the general term, tn and the term t10 so the general term is: (4/3)x (1/3) ^n so the tenth term is: 4/177147 is this correct? 
math
the "k"th term of a series, Sk=a 1r^k/1r, is the sum of the first "k" terms of the underlying sequence. the difference between the "n"th terms of two particular series is greater than 14 for some values of n (is an element of) N. … 
Math SL
An Arithmetic sequence has a tenth term of 17 and a fourteenth term of 30, ind the general term PLEASE HELP!!!! 
Spanish
1. The term "los padres" refers to a family that has two dads. *mom and dad. dads in general. 2. The term "los abuelos" refers to *your grandparents. your grandfathers. grandfathers in general. 3. The term "los tíos" refers to uncles … 
Math
make a table of values for the sequence 6,11,16,21,26 b) write an algebraic expression for the general term of the sequence. c) Use ur expression for the general term to calculate the 25th term in the sequence. Please help asap 
maths
The 2nd term in Geometric sequence is 4 and the 5th is 32 ,find the general formula \term and the first 3 terms ,find the 18th term 
Math binomial formula and sequence
a) use the binomial formula to find the 5th term of the expansion (2x  3)^8  i got 90720x? 
pre cal 11
i am stuck at a question that is asking for the common difference, first term, and general term for the arithmetic sequence the question is t10=50 and t27=152 i found my d=6 and t1=(4) so know my equation is: tn=(4)+(n1)6 i had … 
math
Given that the sum of the first 20 terms of an arithmetic sequence is 1150 and the fifth term is twice the second term . find: 1.The first term and the common difference 2. find the general formula 
Algebra
Find the general term in simplest form for the sequence 2,1,4,7,10,13,16. There's an addition of 3 with alternating signs I think but I'm unable to find a general term.