The correct answer is C) t₁ = 375,
.
From the general form,
, we must work backward to find t₁.
The general form is derived from the explicit form, which is
. We can see that r = 5; 5 has the exponent, so that is what is multiplied by every time. This gives us
Using the products of exponents, we can "split up" the exponent:
We know that 5⁻¹ = 1/5, so this gives us
Comparing this to our general form, we see that
Multiplying by 5 on both sides, we get that
t₁ = 75*5 = 375
The recursive formula for a geometric sequence is given by
, while we must state what t₁ is; this gives us
Answer:
we can make 5 servings of spice rub from 10 table spoons of onion powder
Step-by-step explanation:
Given the data in the question;
2 table spoon of onion powder makes one serving of spice rub.
Total table spoons of onion powder available = 10
So Let x represent the number of servings of spice rub we can make from our 10 table spoons of onion powder ;
2 table spoons = 1 servings
10 table spoons = x servings
we cross multiply;
x servings × 2 table spoons = 10 table spoons × 1 servings
x servings = ( 10 table spoons × 1 servings ) / 2 table spoons
x = 10 / 2
x = 5 servings
Therefore, we can make 5 servings of spice rub from 10 table spoons of onion powder
we conclude that if the scale factor from S to M is 3/2, then the scale factor from M to S is 2/4.
<h3>
</h3><h3>What is the scale factor from M to S?</h3>
Suppose we have a figure S. If we apply a stretch of scale factor K to our figure S, we can say that all the dimensions of figure S are multiplied by K.
So, if S represents the length of a bar, then after the stretch we will get a bar of length M, such that:
M = S*K
If that scale factor is 3/2, then we have the case of the problem:
M = (3/2)*S
We can isolate S in the above relation:
(2/3)*M = S
Now we have an equation (similar to the first one) that says that the scale factor from M to S is 2/3.
Then we conclude that if the scale factor from S to M is 3/2, then the scale factor from M to S is 2/4.
If you want to learn more about scale factors:
brainly.com/question/25722260
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