How many terms of the GP 1,4,16,64, will make their sum 5461 ? - Vidyadip

Question

How many terms of the GP $1,4,16,64, \ldots$ will make their sum 5461 ?

✓

Answer

Self

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "[3 marks sum]" from Geometric Progression→Geometric Progression — all question types→Mathematics STD 10 question papers→ICSE Board STD 10 question papers→ICSE Board question paper generator→

Similar questions

If (11a² + 13b²) (11c² – 13d²) = (11a² – 13b²)(11c² + 13d²), prove that a : b :: c : d.

Prove the following identity:
$
\frac{\sin A}{1+\cos A}+\frac{1+\cos A}{\sin A}=2 \operatorname{cosec} A
$

State the locus of a point moving so that its perpendicular distances from two given lines is always equal.

A shopkeeper buys on article whose list price is Rs. 450 at some rate of discount from a wholesaler. He sells the article to a consumer at the list price and charges sales tax at the rate of 6%. If the shopkeeper has to pay a VAT of Rs. 2.70, find the rate of discount at which he bought the article from the wholesaler.

The bisectors of ∠B and ∠C of a quadrilateral ABCD intersect in P. Show that P is equidistant from the opposite sides AB and CD.

From a well shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn will : be a face card.

If the abscissa of point P is $2.$ find the ratio in which this point divides the line segment joining the point $(-4,3)$ and $(6,3)$ Also find the co-ordinates of point P.

In a two-digit number, the ten’s digit is bigger. The product of the digits is 27 and the difference between two digits is 6. Find the number.

Without using trigonometric table, evaluate:
$
\left(\frac{\sin 47^{\circ}}{\cos 43^{\circ}}\right)^2-4 \cos ^2 45^{\circ}+\left(\frac{\cos 43^{\circ}}{\sin 47^{\circ}}\right)^2
$

Find the reciprocal ratio of e following :
$a^3b^2 : a^2b^3$