Identify the following sequence is in G.P.? 1, −5, 25, −125, ... - Vidyadip

Question

Identify the following sequence is in G.P.?
$1, −5, 25, −125, ...$

✓

Answer

$1,-5,25,-125, \ldots $
$r=\frac{t_2}{t_1}=\frac{-5}{1}=-5 $
$r=\frac{t_3}{t_2}=\frac{25}{-5}=-5 $
$-5=-5$
$\therefore$ It is a G.P.

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 "[2 Mark Questions]" from Numbers and Sequences→Numbers and Sequences — all question types→MATHS STD 10 question papers→Tamilnadu Board STD 10 question papers→Tamilnadu Board question paper generator→

Similar questions

Use Euclid’s Division Algorithm to find the Highest Common Factor (H.C.F) of 867 and 255

Determine whether the sets of points are collinear?
(a, b + c), (b, c + a) and (c, a + b)

If A = {5, 6}, B = {4, 5, 6}, C = {5, 6, 7}, Show that A × A = (B × B) ∩ (C × C)

Find the maximum volume of a cone that can be carved out of a solid hemisphere of radius r units.

A cylindrical glass with diameter 20 cm has water to a height of 9 cm. A small cylindrical metal of radius 5 cm and height 4 cm is immersed it completely. Calculate the raise of the water in the glass?

A girl wishes to prepare birthday caps in the form of right circular cones for her birthday party, using a sheet of paper whose area is 5720 cm$^2$, how many caps can be made with radius 5 cm and height 12 cm.

The function ' $t$ ' which map temperature in Celsius $(C)$ into temperature in Fahrenheit $(F)$ is defined by $t(C)=F$ where $F=\frac{9}{5} C+32$. Find, the value of $C$ when $t(C)=212$

Determine the nature of the roots for the following quadratic equation $9 y^2-6 \sqrt{2} y+2=0$

The external radius and the length of a hollow wooden log are 16 cm and 13 cm respectively. If its thickness is 4 cm then find its T.S.A

A bag contains 12 blue balls and x red balls. If one ball is drawn at random what is the probability that it will be a red ball?