2 years ago

Find the 61st term of the arithmetic sequence

Mathematics

1 answer:

krek1111 [17]2 years ago

5 0

Answer:

Step-by-step explanation:

hello :

a(n) -a(n-1) = -16 (common differnce for arithmetic sequence)

-44-(-28) = (-28)-(-12) = -16

the ni-eme term is : a(n) = a(1) +(n-1)d d = -16 and a(1) = -12

so : a(n) = -12 +(n-1)(-16)

a(n) = -16n+4

continue for 61st term n = ?????

when : n= ? a(?) = -16(?)+3 =.....

You might be interested in

Jessica fills a cube shaped tank that has an edge of 70 cm with water from a tap. Water flows into the tank at a rate of 7L per

daser333 [38]

The volume of the tank is (70 cm)³ = 343,000 cm³.

Now,

1 mL = 1 cm³

1 L = 1000 mL

so we convert the given rate to

$\dfrac{7\,\rm L}{1\,\rm min} \cdot \dfrac{1000\,\rm mL}{1\,\rm L} \cdot \dfrac{1\,\mathrm{cm}^3}{1\,\rm mL} = \dfrac{7000\,\mathrm{cm}^3}{1\,\rm min}$

Then the time it will take to fill up the tank is

$343,000\,\mathrm{cm}^3 \cdot \dfrac{1\,\rm min}{7000\,\mathrm{cm}^3} = \boxed{49\,\rm min}$

6 0

1 year ago

A test consists of 20 problems and students are told to answer any 10 of these questions. In how many different ways can they ch

Furkat [3]

We must find UNIQUE combinations because choosing a,b,c,d... is the same as d,c,b,a...etc. For this type of problem you use the "n choose k" formula...

n!/(k!(n-k)!), n=total number of choices available, k=number of choices made..

In this case:

20!/(10!(20-10)!)

20!/(10!*10!)

184756

3 0

3 years ago

Read 2 more answers

X/a+x/b=1<br>make x the subject of the formular

monitta

Answer:

x = $\frac{ab}{b+a}$