1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
OlgaM077 [116]
3 years ago
8

The nth term of a sequence is n^2+20 A) work out the first three terms of the sequence B) how many terms in the sequence are les

s than 50
Mathematics
1 answer:
a_sh-v [17]3 years ago
3 0
<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ a) (1)^2 + 20 = 21

(2)^2 + 20 = 24

(3)^2 + 20 = 29

b) (5)^2 + 20 = 45

(6)^2 + 20 = 56

There are 5 terms less than 50

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

You might be interested in
Please help
shtirl [24]

Answer:

Step-by-step explanation:

The slope of the line in question is the same as the slope of the line parallel to it. Using y = mx + b, where m is the slope, we find the slope of our line is -3.

Using the pt-slope form, y - y1 = m( x - x1), we get y - (-1) = -3( x - 2) or y + 1 = -3x + 6. Which leads us to y = -3x + 5. QED

4 0
2 years ago
What is the value of y in the sequence below?<br> 2,y,18, -54,162,
snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

<u>A</u><u>r</u><u>i</u><u>t</u><u>h</u><u>m</u><u>e</u><u>t</u><u>r</u><u>i</u><u>c</u>

\displaystyle \large{a_{n + 1} - a_n = d}

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

<u>G</u><u>e</u><u>o</u><u>m</u><u>e</u><u>t</u><u>r</u><u>i</u><u>c</u>

\displaystyle \large{ \frac{a_{n + 1}}{a_n}  = r}

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

  • 2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

\displaystyle \large{ \frac{ - 54}{18}  = - 3 } \\  \displaystyle \large{ \frac{ 162}{ - 54}  = - 3}

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

\displaystyle \large{ a_{n + 1} = y } \\  \displaystyle \large{ a_n = 2 } \\  \displaystyle \large{ r =  - 3 }

From the:

\displaystyle \large{ \frac{a_{n + 1}}{a_n}  = r}

Substitute the values in.

\displaystyle \large{ \frac{y}{2}  =  - 3}

Multiply the whole equation by 2 to isolate y.

\displaystyle \large{ \frac{y}{2} \times 2  =  - 3 \times 2} \\  \displaystyle \large{ y =  - 6}

Therefore, the value of y is -6.

7 0
2 years ago
there is a direct path from gayle's house to the store. due to construction, the direct route is closed and gayle must travel 6
NikAS [45]

Answer:

c2=10

Step-by-step explanation:

8^2+6^2=c2

64+36=120

c2=square root of 120..which is 10

4 0
2 years ago
Read 2 more answers
Sandra scores 4 baskets in his first basketball game. She then scored the same number of baskets in each of her next 3 games. If
Fiesta28 [93]

19 - 4 = 15 baskets made in those last three games. If the same number of baskets were made in those three games, she made five in each game, because 5 + 5 + 5 = 15 (the number of baskets made in those final three games). Thus 5 baskets per game is the answer. Hope this helps!

8 0
2 years ago
Read 2 more answers
Which number is equivalent to the fraction 15 over 7?
USPshnik [31]
15/7 is approximately 2.143
7 0
3 years ago
Other questions:
  • The equation y + 6 = one-third (X minus 9) is written in point-slope form. What is the equation written in slope-intercept form?
    5·2 answers
  • A rectangular garden measures 20 yards by 30 yards. Which is the correct unit of measurement to figure out how much fertilizer i
    10·1 answer
  • Caroline's gross annual salary is $47,448 what is the maximum amount of rent she can afford to pay?
    10·2 answers
  • Let f(x) = 4 – x^2, g(x) = 2 – x. Find (f + g)(x) and its domain.
    12·1 answer
  • In the expression ab, a is called the base and bis called the numerator or<br> power.
    5·1 answer
  • A biker moves 2.5 times faster than a walker. They started moving simultaneously in the same direction from the same point. In t
    15·2 answers
  • Lena is converting StartFraction 2 Over 25 EndFraction to a percent. What should she multiply the numerator and denominator of t
    11·2 answers
  • 2) Multiply<br> (6x+3)(3x2+8x+5)<br> Help, please shore me how to do this!
    12·1 answer
  • Find all missing angles.
    10·1 answer
  • Determine the amplitude or Period as requested. <br> Period of y= -2 sin x
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!