Answer:
15th term =29/3
16th term = 31/3
Step-by-step explanation:
Given an arithmetic sequence with the first term a1 and the common difference d , the nth (or general) term is given by an=a1+(n−1)d .
First we find the 15th term
n=15
a1=1/3
d=1 - 1/3 = 2/3
Solution
1/3+(15-1)2/3
1/3+28/3
(1+28)/3
29/3
Lets find the 16th term
1/3+(16-1)2/3
1/3+30/3
(1+30)/3
31/3
Answer:
41/24
Step-by-step explanation:
Answer:p=69
Step-by-step explanation:
Let's solve your equation step-by-step.
3666=39(p+25)
Step 1: Simplify both sides of the equation.
3666=39(p+25)
3666=(39)(p)+(39)(25)(Distribute)
3666=39p+975
Step 2: Flip the equation.
39p+975=3666
Step 3: Subtract 975 from both sides.
39p+975−975=3666−975
39p=2691
Step 4: Divide both sides by 39.
39p
/39 = 2691
/39
The gradient is also known as the slope and we can find it using the slope/gradient formula: (y2 - y1) / (x2 - x1)
To find the gradient/slope, we need to first choose two points on the line. You can choose any two points you like, as long as they are on the line you are trying to find the slope of.
Point 1 = (2,2)
Point 2 = (5,8)
Now, we can plug in these points to the formula and solve.
(8 - 2) / (5 - 2)
6 / 3
2
The gradient of the blue line is 2.
Hope this helps!! :)