If the 4th and 7th term of Geometrics Pr...

If the 4th and 7th term of Geometrics Progressions are 54 and 1458 respectively, find the Geometric Progression.

Text Solution

Verified by Experts

The correct Answer is:

The geometric sequence is 2,6,18,54,……..

Topper's Solved these Questions

NUMBERS AND SEQUENCES
FULL MARKS|Exercise ADDITIONAL QUESTION SOLVED (III. ANSWER THE FOLLOWING).|12 Videos
NUMBERS AND SEQUENCES
FULL MARKS|Exercise ADDITIONAL QUESTION SOLVED|25 Videos
MENSURATION
FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (iii)|8 Videos
RELATIONS AND FUNCTIONS
FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (ANSWER THE FOLLOWING QUESTIONS)|26 Videos

Similar Questions

Explore conceptually related problems

If the 4^(th) and 7^(th) terms of a GP are 16 and 128 respectively, then the 10^(th) terms is

The first term of an arithmetic progression is 1 and the sum of the first nine terms equal to 369 . The first and the ninth term of a geometric progression coincide with the first and the ninth term of the arithmetic progression. Find the seventh term of the geometric progression.

The 4th term of a geometic progression is 2/3 and the seventh term is 16/81 . Find the geometic series.

In a Geometric Progression, the 4th term is 8, and the 8th term is (128)/(625) . Find the Geometric Progression.

If 10^(th) term and the 18^(th) term of an A.P. are 25 and 41 respectively, then find the 38^(th) term.

Find x so that x+6, x+12 and x+15 are consecutive terms of Geometric Progressions.

If 4^(th) term and sixth term of an HP are 1/9 and 1/13 respectively, find the 10^(th) term of the sequence.

If the product of the 4^(th), 5^(th) and 6^(th) terms of a geometric progression is 4096 and if the product of the 5^(th), 6^(th) and 7^(th) - terms of it is 32768, find the sum of first 8 terms of the geometric progression. For any two positive numbers, the three means AM, GM and HM are in geometric progression.

The third term of a geometric progression is 4. Then find the product of the first five terms.

FULL MARKS-NUMBERS AND SEQUENCES-ADDITIONAL QUESTION SOLVED (II.ANSWER THE FOLLOWING)

Show that the square of any positive integer of the form 3m or 3m + 1 ...
Text Solution
|
If the H.C.F. of 65 and 117 is expressible in the form of 65m-117, the...
Text Solution
|
Compute x such that 5^(4) -= x (mod 8)
Text Solution
|
The first term of an A.P. is 6 and the common difference is 5. Find th...
Text Solution
|
Which term of the arithmetic sequence 24,23 (1/4), 21 (3/4),….. is 3?
Text Solution
|
Find n so that the nth terms of the following two A.P.’s are the same....
Text Solution
|
If a,b,c are in A.P., show that (a-c)^(2)=4(b^(2)-ac).
Text Solution
|
Find the sum of the first 30 terms of an A.P. whose nth term is 3 + 2n...
Text Solution
|
Find the sum of the firt 40 terms of the series 1^(2) -2^(2) + 3^(2) -...
Text Solution
|
The sum of first n terms of a certain series is given as 3n^(2)-2n. Sh...
Text Solution
|
If a clock strickes once at 1 o'clock, twice at 2o'clock, thrice at 3 ...
Text Solution
|
If the 4th and 7th term of Geometrics Progressions are 54 and 1458 res...
Text Solution
|
Which term of the geometric sequence, (i) 5,2,4/5,8/25,….. Is 128/15...
Text Solution
|
How many consecutive terms starting from the first term of the scries ...
Text Solution
|
A geometric series consists of four terms and has a positive common ra...
Text Solution
|
Suppose that five people are ill during the first week of an epidemic ...
Text Solution
|
A gardener wanted to reward a boy for his good deeds by giving some ma...
Text Solution
|
Find the value of k if 1^(3) + 2^(3) + 3^(3) +…….. + k^(3) =2025
Text Solution
|
If 1^(3) + 2^(3) + 3^(3) + ……. + k^(3) =8281, then find 1+2 + 3 + ……. ...
Text Solution
|
Find the sum of all 11 term of an AP whose middle most term in 30.
Text Solution
|