All categories

2 years ago

Find the 70th term of the arithmetic sequence -26, -19, -12

Mathematics

1 answer:

zaharov [31]2 years ago

6 0

Answer:

457

Step-by-step explanation:

The general term of an arithmetic sequence is given by ...

an = a1 +d(n -1)

where a1 is the first term (-26), and d is the common difference (7).

The 70th term of your sequence can be found by putting the numbers into this formula:

a70 = -26 +7(70 -1) = -26 +483

a70 = 457

The 70th term of the sequence is 457.

You might be interested in

Use the Quadratic Formula to solve the equation 4x^2−7=4x.

tino4ka555 [31]

Answer:

$\large\boxed{x=\dfrac{1}{2}-\sqrt2\ or\ x=\dfrac{1}{2}+\sqrt2}$

Step-by-step explanation:

$\text{The quadratic formula of}\ ax^2+bx+c=0:\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$\text{We have:}\\\\4x^2-7=4x\qquad\text{subtract}\ 4x\ \text{from both sides}\\\\4x^2-4x-7=0\\\\a=4,\ b=-4,\ c=-7\\\\b^2-4ac=(-4)^2-4(4)(-7)=16+112=128\\\\\sqrt{b^2-4ac}=\sqrt{128}=\sqrt{64\cdot2}=\sqrt{64}\cdot\sqrt2=8\sqrt2\\\\x=\dfrac{-(-4)\pm8\sqrt2}{(2)(4)}=\dfrac{4\pm8\sqrt2}{8}\qquad\text{simplify by 4}\\\\x=\dfrac{1\pm2\sqrt2}{2}\to x=\dfrac{1}{2}\pm\sqrt2$

6 0

3 years ago

If a/b=5/3, then 3a=

Komok [63]

Answer:

3a=5b

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

How can I determine whether fractions are considered decimals

ArbitrLikvidat [17]

Yes they are but just in a different form. Fractions can be converted to a decimal. 3/5 can be shown as .6. Hope I helped!

3 0

2 years ago

What is the domain of y = log Subscript 4 Baseline (x + 3)?

LekaFEV [45]

Answer:

All real numbers greater than -3

Step-by-step explanation:

The domain of a log is the baseline is greater than 0.

Set x + 3 greater than zero and solve

x + 3 > 0

x > -3

3 0

1 year ago

SSSSS [86.1K]

7. y = 1, AB = 1, BD = 10 and AD = 11

8. x = 5, AB = 20 and BC = 20

9. x= 5 and AB = 33

10. No, because AC = 12.5 while AB + BC = 20 (they should equal the same and they don't.)

7 0

2 years ago