an=4n+1
Sum of first 30 terms
a1+a2+.................a30
Sn=(a1+an)*n/2
a1-----------first
terms
an=---------last
term-----a30
n= number of
terms-----30
calculation of a1
a1=4n+1=4*1+1=5
calculation of an
a30=4*30+1=121
S30=(a1+a30)*30/2
S30=(5+121)*30/2=1890
<span>The sum of first
30 terms is 1890</span>
Answer:
y = x-2
Step-by-step explanation:
y = mx + b as an equation
m = slope
slope = (change in y) / (change in x) = (y₂-y₁)/(x₂-x₁) = (y₁-y₂)/(x₁-x₂) = (2-(-2))/(4-0) = 4/4 = 1
y = 1*x + b
plug a value in, e.g. (0, -2)
-2 = 1 * 0 + b
-2 = b
our equation is thus
y = x - 2
The area of sector is 1.57 m²
<u>Explanation:</u>
Given:
Radius, r = 3 m
Central angle of a sector = 1/9π radians
Area of sector, A = ?
We know:
Area of sector, A = 
where,
α is the central angle in radians
On substituting the value we get:

Therefore, the area of sector is 1.57 m²
Answer:

Step-by-step explanation:
- Change the mixed number into an improper fraction: -1 × 3 = -3, -3 + 1 = -2. Put -2 over 3:
- Multiply -2/3 and -2/5:
×
=
Therefore, the answer is
.
The x-intercept is (3,0). The y-intercept is (0,5).