Wang lei and amira were asked to find an explicit formula for the sequence 30\,,\,150\,,\,750\,,\,,150,750,, comma, 150, comma, 750, comma, 3750, comma, point, point, point.

wang lei said the formula is g(n)=30\cdot5^{\large{n-1}}g(n)=30⋅ 5

n−1

g, left parenthesis, n, right parenthesis, equals, 30, dot, 5, start superscript, n, minus, 1, end superscript, and

amira said the formula is g(n)=6\cdot5^{\large{n}}g(n)=6⋅5

n

g, left parenthesis, n, right parenthesis, equals, 6, dot, 5, start superscript, n, end superscript.

which one of them is right?

Wang Lei is right.

Step-by-step explanation:

Given sequence,

30, 150, 750, 3750,...

Since,

Thus, 30, 150, 750, 3750,... is a geometric sequence.

We know that,

The explicit formula of a geometric sequence is,

Where,

a = first term,

r = common ratio,

Here, a = 30, r = 5,

Thus, the required explicit formula,

Hence, Wang Lei is right.

Both Wang Lei and Amira is the correct answer.

Step-by-step explanation:

b

step-by-step explanation:

the total is 23.97. 0.25% is off so you have to subtracting 25% from 100% and you will get 75% if you convert it to decimal you will get 0.75. you have to find the original because the formula is % times original = total.so you have the total and the % so you just have to plug it in.

tip $2.90

total $17.40