SOLUTION: Please help me solve this math problem:If the 10th term of a G.P is given 2^10 and the 20th term is given as 2^19.Find the first term, common ratio and the sum of the nth term

Question 1190303: Please help me solve this math problem:If the 10th term of a G.P is given 2^10 and the 20th term is given as 2^19.Find the first term, common ratio and the sum of the nth term
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

general formula for nth term:

if th term of a G.P is , we have

............eq.1

if the th term is given as , we have

.........eq.2

from eq.1 and eq.2 we have

.....solve for

then
............eq.1, substitute

so,
first term is and common ratio is

your nth term formula is:

RELATED QUESTIONS
Please help me find the 20th term of this arithmetic sequence -t, -t+5, -t+10,... (answered by Fombitz)

the 8th term of a G.P is 640.if the first term is 5,find the common ratio and the 10th... (answered by ikleyn)

please help me with this particular problem..thanks Find the constant term or the term... (answered by stanbon)

if the 6th term of an A.P is 35 and the 13th term is 27, calcuate the 20th... (answered by greenestamps)

For a given geometric sequence, the 5th term, a5, is equal to 11/256, and the 10th term,... (answered by ikleyn,MathTherapy)

the 12th term of an A.P is -41. given that the first term is 3,find the 20th... (answered by josgarithmetic,ikleyn)

The 12th term of an A.P is -41 given that the first term is 3 find the 20th... (answered by ikleyn)

dear tutors can you please help me solve this problem? i need to write aq variable... (answered by solver91311)

If the second term is 1/2 and the seventh term of a geometric progression is 1/64 find... (answered by stanbon)