I don’t know math ok :(

Mathematics

1 answer:

Hatshy [7]3 years ago

5 0

Same with me bud I do not know math..!

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18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:

Ksenya-84 [330]

$a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}$

$S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525$

8 0

3 years ago

1. Write the following radicals in simplest form a) -3√288 b) 5√320

jeka57 [31]

A) -3√288=-3√(144*2)=-3√144√2=-3*12√2=-36√2

b) 5√320=5√(64*5)=5√64√5=5*8√5=40√5

8 0

2 years ago

Can someone help me with this question?

Anarel [89]

Answer:

yea

Step-by-step explanation:

3 0

2 years ago

HELP PLEASE!! this is 8th grade math btw

natima [27]

Answer:

the 2nd one

Step-by-step explanation:

5 0

2 years ago

How do I start This?

pav-90 [236]

$\bf \begin{array}{lccclll}
&\stackrel{lbs}{amount}&\stackrel{unit}{cost}&\stackrel{total}{value}\\
&------&------&------\\
Raisins&11&2.30&25.3\\
Peanuts&p&4.50&4.5p\\
------&------&------&------\\
mixture&m&3.29&3.29m
\end{array}$

we know that, the mixture amount is the sum of 11 + p, or 11 + p = m.

we also know that, the total value is also a sum of 25.3 + 4.5p = 3.29m.

$\bf \begin{cases}
11+p=\boxed{m}\\
25.3+4.5p=3.29m\\
----------\\
25.3+4.5p=3.29\left( \boxed{11+p} \right)
\end{cases}
\\\\\\
25.3+4.5p=36.19+3.29p\implies 1.21p=10.89\implies p=\cfrac{10.89}{1.21}
\\\\\\
p=\stackrel{lbs}{9}$

5 0

2 years ago