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melomori [17]
3 years ago
14

Fourth term of sequence is 216, sixth term 96

Mathematics
1 answer:
My name is Ann [436]3 years ago
4 0
312 I think, hop[e this helps
You might be interested in
A geometric sequence is defined by the general term tn = 75(5n), where n ∈N and n ≥ 1. What is the recursive formula of the sequ
andreyandreev [35.5K]
The correct answer is C) t₁ = 375, t_n=5t_{n-1}.

From the general form,
t_n=75(5)^n, we must work backward to find t₁.

The general form is derived from the explicit form, which is
t_n=t_1(r)^{n-1}.  We can see that r = 5; 5 has the exponent, so that is what is multiplied by every time. This gives us

t_n=t_1(5)^{n-1}

Using the products of exponents, we can "split up" the exponent:
t_n=t_1(5)^n(5)^{-1}

We know that 5⁻¹ = 1/5, so this gives us
t_n=t_1(\frac{1}{5})(5)^n
\\
\\=\frac{t_1}{5}(5)^n

Comparing this to our general form, we see that
\frac{t_1}{5}=75

Multiplying by 5 on both sides, we get that
t₁ = 75*5 = 375

The recursive formula for a geometric sequence is given by
t_n=t_{n-1}(r), while we must state what t₁ is; this gives us

t_1=375; t_n=t_{n-1}(5)

3 0
3 years ago
I need help it's so confusing!​
jasenka [17]
Try looking up the answer
5 0
3 years ago
6x-3=3x+12 <br><br> solve for x
Amanda [17]

Answer:

the answer is x=5

Step-by-step explanation:

hoped I helped:)

7 0
2 years ago
Read 2 more answers
1. Which is less? -27 or -36
NikAS [45]
1. -36 is less

2. .12

3. 3.36

I don’t use property’s but u know 8 is the identity property
6 0
3 years ago
Read 2 more answers
What is 8z - 22 = 3(3z + 11) - z
Masja [62]
8z-22=3(3z+11)-z
9z-22=9z+33
-22=33
or
0=55
either way no solution
6 0
3 years ago
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