Which set of numbers could represent the lengths of the sides of a right triangle?
2 answers:
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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
From the general form,
The general form is derived from the explicit form, which is
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
Answer:
there are more magnets that longer than 2 1/2
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
From the photo, we can see that:
Length of the magnet:
- 1 inch there is 1 magnet
inches there are 2 magnets
- 2 inches there are 3 magnets
- 3 inches there are 4 magnets
there is 1 magnet
- 4 inches there are 2 magnets
=> the total number of magnets that longer than 2 1/2 are: 4+1+2 = 7
=> the total number of magnets that shorter than 2 1/2 are: 1+2+3 = 6
Hence, there are more magnets that longer than 2 1/2
Hope it will find you well.
