Question

sum to infinity of a G.P IS 5,-5/2,5/4,-5/8,5/16​

Answer 1

Answer:

the above is the answer buddy

Answer 2

Sum to infinity of G.P.(5,-5/2,5/4,-5/8,5/16...) is 10/3.

Given:

• A G.P.
• 5,-5/2,5/4,-5/8,5/16...

To find:

• Sum to Infinity.

Solution:

Formula to be used:

$\bf S_\infty = \frac{a}{1 - r} ,\: r < 1$

here

a: first term

r: Common ration

Step 1:

Write the terms.

a= 5

$r = \frac{ \frac{ - 5}{2} }{ \frac{5}{1} }$

or

$r = \frac{ - 5}{2} \times \frac{1}{5}$

or

$\bf r = \frac{ - 1}{2}$

Step 2:

Find sum to infinity.

$S_\infty = \frac{5}{1 - ( - \frac{1}{2}) }$

or

$S_\infty = \frac{5}{1 + \frac{1}{2} }$

or

$S_\infty = \frac{5}{ \frac{3}{2} }$

or

$\bf S_\infty = \frac{10}{3 }$

Thus,

Sum to infinity of given G.P. is 10/3.

Learn more:

find five numbers in GP such that their sum is 31/4 and product is 1

https://brainly.in/question/18181027

Learn how to use G.P. in real life situation:

In a hockey match, both teams A and B scored same number of goals up

to the end of the game, so to decide the winner, ...

https://brainly.in/question/2934035