Find an expression for the nth term ( tn ) in each of the following sequences:
1 answer:
Answer:
The expression for the nth term is Tn = 8n -7
Step-by-step explanation:
Here, we are to find an expression for the nth term of the sequence.
Mathematically, the nth term of an arithmetic sequence can be expressed as;
Tn = a + (n-1)d
for T2, the equation is
a + d = 9
for T4, the equation is
a + 3d = 25
we can substitute the equation of T2 into T4 but we first need to rewrite T4
a + d + 2d = 25
9 + 2d = 25
2d = 25 -9
2d = 16
d = 16/2
d = 8
now since a + d = 9
a = 9-d
a = 9-8
a = 1
So the expression for the nth term would be;
1 + (n-1)8
1 + 8n - 8
= 8n -8+1
= 8n -7
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H(x)=5x+15+4x+20
if x=4, together it would be 5(4)+15+4(4)+20
h(x)=20+15+16+20=71
Divided by 2, they'd each get 35.5
If Frank worked alone, he'd get 5(4)+15= 35
He'd make more working together.
Given:
- The area of a rectangular painting is 7719 cm²
- Width of painting = 83cm
To Find?
Solution:
- Let length of painting be x cm
Using formula:
- Area of rectangle = L × B
Where,
- Length = x cm
- Breadth = 73 cm
→ 7719 = x × 83
→ x = 7719/83
→ x = 93 cm
Hence,
- Length of painting is 93cm
Answer:
ok soooooooooo9oooooooooooooooooooo
Answer:
+2 • (25y + 29)/5
Step-by-step explanation:
Simple, .3 centimeters a day.
3/10=.3
