Answer:
The equation for the nth term of the given arithmetic sequence is:
Step-by-step explanation:
We need to write an equation for the nth term of the arithmetic sequence:
15,28,41 ....
The equation for arithmetic sequence is:
Where is the nth term, is first term and d is common difference
In the given sequence we have:
a₁ = 15
a₂ = 28
We can find common difference using the formula:
So, the common difference d is 13
Now, equation for nth term will be:
So, the equation for the nth term of the given arithmetic sequence is:
where n=1,2,3..
For a polynomial of the form ax2+bx+c a x 2 + b x + c , rewrite the middle term as a sum of two terms whose product is a⋅c=2⋅−2=−4 a ⋅ c = 2 ⋅ - 2 = - 4 and whose sum is b=−3 b = - 3 . Factor −3 - 3 out of −3x - 3 x .
100: 1,2,5,10,20,50,100
36: 1,2,3,4,6,6,9,12,18,36
60: 1,2,3,4,5,6,10,12,15,20,30,60
45: 1,3,5,9,15,45
96: 1,2,3,4,6,8,12,16,24,32,48,96
hope it helps!