The 3th and 9th term of a G.p are 54 and 39.366 respectively find
A
a. 6th term
b. Sum of the 4th and 7th
To find the common ratio (r), we can divide the 9th term (39.366) by the 3rd term (54):
r = 39.366/54 = 0.729
Now that we know the common ratio, we can find the 6th term by multiplying the 3rd term (54) by r^3:
6th term = 54 * 0.729^3 = 54 * 0.387 = 20.898
To find the sum of the 4th and 7th terms, we can add the 4th term to the 7th term. The 4th term can be found by multiplying the 3rd term (54) by r:
4th term = 54 * 0.729 = 39.366
The 7th term can be found by multiplying the 3rd term (54) by r^4:
7th term = 54 * 0.729^4 = 54 * 0.283 = 15.282
Sum of the 4th and 7th terms = 39.366 + 15.282 = 54.648