Carlos and Ana were asked to find an explicit formula for the sequence -10,-4,2,8,...−10,−4,2,8,...minus, 10, comma, minus, 4, comma, 2, comma, 8, comma, point, point, point

Carlos said the formula is f(n)=-10+6nf(n)=−10+6nf, left parenthesis, n, right parenthesis, equals, minus, 10, plus, 6, n.

Ana said the formula is f(n)=-10+6(n-1)f(n)=−10+6(n−1)f, left parenthesis, n, right parenthesis, equals, minus, 10, plus, 6, left parenthesis, n, minus, 1, right parenthesis.

Which one of them is right?

Carlo formula is correct.

Step-by-step explanation:

Given : Carlos and Ana were asked to find an explicit formula for the sequence -10,-4,2,8,...

Carlos said the formula is

Ana said the formula is

To find : Which one of them is right?

Solution :

We put the value of n in both so that we decide which is right.

Carlos said the formula is

Put n=0,

Put n=1,

Put n=2,

Put n=3,

Carlo formula is correct.

Ana said the formula is

Put n=0,

The first value is not correct.

Ana formula is incorrect.

question:

could we have options?

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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