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devlian [24]
3 years ago
9

Consider the sequence 2, 5, 10, 17, ...

Mathematics
1 answer:
KIM [24]3 years ago
3 0
The sequence 2, 5, 10, 17... has the pattern
1 + 1 = 2
4 + 1 = 5 
9 + 1 = 10
16 + 1  = 17
So, the next term would be:
25 + 1 = 26

The sequence is described the equation:
an = n² + 1

To solve for the nth term, the value n just has to be substituted.
You might be interested in
A total of 815 tickets were sold for the school play. They were either adult tickets or student tickets. There were 65 more stud
kvv77 [185]

Answer:

<u>375 Adult Tickets.</u>

Step-by-step explanation:

Here, we can simply set up an equation using variable <em>x </em>in place of the unknown student/adult tickets.

x = # of <u>adult</u> tickets sold

x + 65 = # of <u>student</u> tickets sold.

1) x + x + 65 = 815 (set both ticket amounts equal to the total)

2) 2x + 65 = 815 (added common variables together)

3) 2x = 750 (negated the +65, subtracted it from both sides)

4) x = 375 (divided both sides by 2)

5) 815 - 375 = 440 (subtracted the x from the total number of <u>adult</u> tickets, to recieve the amount of <u>childrens</u>' tickets.

Therefore,

Since there were fewer adult tickets sold (-65), 375 is the number of adult tickets, and 440 is the number of student tickets.

5 0
3 years ago
Simplify x + 4 - 5x - 2
Blababa [14]

Answer:

-2(2x-1)

Step-by-step explanation:

x+4-5x-2

1) collect like like terms

-4x+2

2) factor out the -2

-2(2x-1)

3) that gives you the final answer of

-2(2x-1)

7 0
3 years ago
Please help me solve this:
frez [133]
X+0.5 could be an inequality to represent the possible weight of the second fish, unless you can tell me the weight of the first fish?
6 0
3 years ago
Read 2 more answers
A nut mixture of peanuts and pecans at a small fair is $1.00 per pound of peanuts and $4.25 per pound of pecans. Over the entire
34kurt
Hello!

You can solve this algebraically

p + n = 115

p + 4.25n = 358.75

Subtract the two equations to eliminate p

-3.25n = -243.75

Divide both sides by -3.25

n = 75

Put n into the first equation

p + 75 = 115

Subtract 75 from both sides

p = 40

The answers are,

40 pounds of peanuts were sold
75 pounds of pecans were sold

Hope this helps!
7 0
4 years ago
13. Every year in Delaware there is a contest where people create cannons and catapults designed (1 po
jonny [76]

Answer:

max 151.02

after 6.04

Step-by-step explanation:

8 0
3 years ago
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