If the nth term of a number sequence is n^2+4find the first 3 terms and the 10th term.
1 answer:
Answer:
a) The sequence of first three terms
5 , 8 , 13 ..
b) The of the sequence
a₁₀ = 104
<u><em></em></u>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given term of the sequence
aₙ = n² + 4
put n=1
First term a₁ = 1² +4 = 1+5
put n =2
Second term a₂ = 2²+4 = 4+4 =8
Put n=3
Third term a₃ = 3² +4 = 9+4 =13
The sequence of first terms
5 , 8 , 13 ..
<u><em>Step(ii):-</em></u>
Given term of the sequence
aₙ = n² + 4
put n =10
a₁₀ = 10²+4 = 100+4 = 104
a₁₀ = 104
The of the sequence
a₁₀ = 104
<u><em></em></u>
You might be interested in
In cases like these, you simply have to multiply the choices you have for each step.
In fact, you can choose between 4 different crusts. For each of these crusts you can choose 4 different sauces. This means that there are choices at this point. In fact, if we call the crust options 1,2,3,4 and the sauce options A,B,C,D, the 16 possible combinations are
From here, you keep going multiplying the number of options for each step, for a total of
Answer:
x-intercept ⇨ -1/3
y-intercept ⇨ 1
Step-by-step explanation:
⟺ Finding the x-intercept, substitute y = 0
Move 1 to subtract the another side.
Then move 3 to divide -1, leaving only x as a subject since we want to find the x-intercept.
#
⟺ Finding the y-intercept, substitute x = 0
#
Tips:
Here's the tips about finding the intercepts of the graph.
⟺ For x-intercept, It's like solving an equation to find the x-term.
⟺ For y-intercept, It's like using the constant to answer.
As for y = mx+b where m = slope and b = y-intercept.
For a linear function, It's not necessary to substitute x = 0 just to find y-intercept as we can answer the constant as our y-intercept.
Answer:
9 cans of white paint
Step-by-step explanation:
To solve this you can set up a ratio.
The ratio right now is 3 : 2, you have 3 cans of white paint for every 2 cans of blue paint. This question is asking how many white paint cans would be needed for 6 cans of blue paint. You can see the relationship between the number of blue paint cans and the new number of blue paint cans, maybe it's multiplying by 4 or 2 for example, and once we find that out we can do the same exact thing to the white cans.
We can see that to get from 2 to 6 you multiply by 3, so now we do that to the other side of the fraction as well, we multiply by 3. 3 multiplied by 3 is 9, so if we were to have 6 cans of blue paint we would need 9 cans of white paint to get that perfect shade of light blue. Anne would need 9 cans of white paint if she had 6 cans of blue paint to make her shade of blue.