Question 1: Find three numbers in G.P. whose sum is and whose product is
.
Answer:
Question 2: Find three numbers in G.P. whose sum is and whose product is
.
Answer:
Question 3: The sum of the first three terms of a G.P. is and their product is
. Find the G.P.
Answer:
Question 4: The product of the first three terms of a G.P. is and the sum of their products taken in pairs is
. Find them.
Answer:
Question 5: The sum of the first three terms of a G.P. is and their product is
. Find the common ratio and the terms.
Answer:
Question 6: The sum of three numbers in G.P. is . If the first two terms are each increase by
and the third is decreased by
, the resulting numbers are in A.P. Find the numbers.
Answer:
… … … … … i)
Substituting from i) we get
Substituting the value of a in i) we get
Question 7: The product of three numbers in G.P. is . If
be added to them, the results are in A.P.. Find the numbers.
Answer:
Substituting for a we get
Question 8: Find three numbers in G.P. whose product is and the sum of their product in pairs is
.
Answer:
Question 9: The sum of three numbers in G.P. is and the sum of their squares is
. Find the numbers.
Answer:
… … … … … i)
… … … … … ii)
Squaring both sides of i) we get
… … … … … iii)
Substituting this in i) we get