Answer:
The number of people that received copies of the letter at the twentieth stage is<em> 9.537 × 10¹³ </em>.
Step-by-step explanation:
Using the discrete model,
a_k = r a_(k-1) for all integers k ≥ 1 and a₀ = a
then,
aₙ = a rⁿ for all integers n ≥ 0
Let a_k be equal to the number of people who receive a copy of the chain letter at a stage k.
Initially, one person has the chain letter (which the person will send to five other people at stage 1). Thus,
a = a₀ = 1
The people who received he chain letter at stage (k - 1), will send a letter to five people at stage k and thus per person at stage (k - 1), five people will receive the letter. Therefore,
a_k = 5 a_(k - 1)
Thus,
aₙ = a rⁿ = 1 · 5ⁿ = 5ⁿ
The number of people that received copies of the letter at the twentieth stage is
<em>a₂₀ = (5)²⁰ = 9.537 × 10¹³ copies</em>
Answer:11 is vertical
12 is adjacent
13 is vertical
Step-by-step explanation:
Answer:
$5,003.23
Step-by-step explanation:
A = P x e^rt
= 4,200 x (e^0.035 x 5 )
= $5,003.23
Answer:
4 is not. (3 is)
Step-by-step explanation:
A number is the multiplicative inverse of 7 (mod 10) if the product mod 10 is 1.
7 × 4 mod 10 = 28 mod 10 = 8 . . . . not 1
Answer:
33,11,−11,−33,<u>-55,-77.</u>
Step-by-step explanation:
For an AP
.

In this given AP,

It means the given sequence is an AP.
First term, a = 33
d = -22
Fifth term :

Sixth term :

So, the sequence is 33,11,−11,−33,<u>-55,-77.</u>