Answer:
Step-by-step explanation:
We observe that the difference of terms is 4, 7 and 15 and next level difference is 4. It means the sequence is quadratic.
<u>We can compare this with simple quadratic sequence </u>
<u>and find out that doubling each term gives us </u>
This is close to our sequence, write the terms as follows to find exact rule
<u>The first term: </u>
- a₁ = 4 = 2*1² + 2 = 2*1² + 1 + 1
<u>The second term</u>
- a₂ = 11 = 2*2² + 3 = 2*2² + 2 + 1
<u>The third term:</u>
- a₃ = 22 = 2*3² + 4 = 2*3² + 3 + 1
<u>The fourth term:</u>
- a₄ = 37 = 2*4² + 5 = 2*4² + 4 + 1
<u>The nth term as per observation above is:</u>
Answer:
She has $10 left.
Step-by-step explanation:
There are 13 tags. Every tag is 5$.
13 tags times 5 dollars equals 65 dollars spent.
75 dollars minus 65 dollars spent = 10 dollars left.
Ruby has 10 dollars left.
Answer:
50°
Step-by-step explanation:
x+15+2x=90
3x=90-15=75
x=75/3=25
one acute angle=25+15=40°
other acute angle=2×25=50°
