2 answers:
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Answer:
for an infinite geometric series the formula for the sum of the infinite geometric series when the common ratio is less than one is given by
=
= 144.
Step-by-step explanation:
i) from the given series we can see that the first term is = 120.
ii) let the common ratio be r.
iii) the second term is 20 = 120 × r
therefore r = 20 ÷ 120 =
iv) the third term is = 20 × r
therefore r = ÷ 20 =
v) for an infinite geometric series the formula for the sum of the infinite geometric series when the common ratio is less than one is given by
=
= 144.
Answer:
-2/3= x
Step-by-step explanation:
<u><em>square all the terms on both sides to get rid of the radicals:</em></u>
<u><em>exponent 2 and the radical cancel each other:</em></u>
1 + 1 - x = 2x + 4
2 - x = 2x + 4
<u><em>like terms on each side ( when you move one term tp the other side, it changes its sign ):</em></u>
2-x = 2x+4
2-4 = +x +2x
-2 = 3x
<u><em>now to keep the x alone, divide both sides by 3:</em></u>
-2/3 = 3x/3
-2/3= x