The first term of a geometric sequence is 6 and the fourth term is 384. What is the sum of the first 10 terms of the corresponding series?​

2097150

Step-by-step explanation:

GIVEN :-

TO FIND :-

CONCEPT TO BE USED IN THIS QUESTION :-

Geometric Progression :-

[NOTE :- can also be the formula for "Sum of n terms of G.P." because if you put 'r' there (assuming r > 0) you'll get negative value in both the numerator &  denominator from which the negative sign will get cancelled from the numerator & denominator. YOU'LL BE GETTING THE SAME VALUE FROM BOTH THE FORMULAES.]

SOLUTION :-

Let the first term of the G.P. given in the question be 'a' and the common ratio between successive terms be 'r'.

⇒ a = 6

It's given that forth term is 384. So from "General form of G.P." , it can be stated that :-

Divide both the sides by 6.

Sum of first 10 terms

the answer is simply just 6n add the two together as they have an n

range is infinite on both x and y axis positive and negative

step-by-step explanation: