The 2nd and 5th term of G.P are 2/3 and 1/2 respectively.what is the 1st term,the 4th term and the 7th term
3 answers
Help me
Xn = a r^(n-1)
X2 = a r = 2/3
X5 = a r^4 = 1/2
so
X5/X2 = r^4/r = (1/2)/(2/3)
r^3 = 3/4
r= .75^(1/3)
a r = 2/3
a [.75^(1/3)] = 2/3
solve for a which is the first term
ar^3 = a * (2/3) which is term 4
X2 = a r = 2/3
X5 = a r^4 = 1/2
so
X5/X2 = r^4/r = (1/2)/(2/3)
r^3 = 3/4
r= .75^(1/3)
a r = 2/3
a [.75^(1/3)] = 2/3
solve for a which is the first term
ar^3 = a * (2/3) which is term 4
1 WHOLE NUMBER 1 OVER 3
1 answer