Question

Find the sum of the infinite geometric series 1+2/3+4/9

Answer 1

Answer:

3

Step-by-step explanation:

sum of infinite GP= a/1-r

so; for 1+2/3+4/9

a=1

r=2/3

then

sum of infinite GP=a/1-r

1/1-2/3. =3

so 3 is the answer

Answer 2

Question :- sum of the infinite geometric sequence 1,2/3,4/9 is ?

Solution :-

we know that,

• sum of infinite terms of GP = a / (1 - r) .
• a = first term of GP .
• r = common ratio . => second term ÷ first term .

so,

→ a = 1

→ r = (2/3) ÷ 1 = (2/3)

then,

→ sum of infinite terms of GP = a/(1 - r)

→ sum of infinite terms of GP = 1 / (1 - 2/3)

→ sum of infinite terms of GP = 1/(1/3)

→ sum of infinite terms of GP = 3 (Ans.)