Answer:
depends on the ammount
Step-by-step explanation:
Answer:
1. sum of term = 465
2. nth term of the AP = 30n - 10
Step-by-step explanation:
1. The sum of all natural number from 1 to 30 can be computed as follows. The first term a = 1 and the common difference d = 1 . Therefore
sum of term = n/2(a + l)
where
a = 1
l = last term = 30
n = number of term
sum of term = 30/2(1 + 30)
sum of term = 15(31)
sum of term = 465
2.The nth term of the sequence can be gotten below. The sequence is 20, 50, 80 ......
The first term which is a is equals to 20. The common difference is 50 - 20 or 80 - 50 = 30. Therefore;
a = 20
d = 30
nth term of an AP = a + (n - 1)d
nth term of an AP = 20 + (n - 1)30
nth term of an AP = 20 + 30n - 30
nth term of the AP = 30n - 10
The nth term formula can be used to find the next term progressively. where n = number of term
The sequence will be 20, 50, 80, 110, 140, 170, 200..............
The first image has a coordinate of A'(1, 6) B'(-3, 7)
<h3>How to calculate the coordinates of an image after a translation?</h3>
Translation can be defined as movement in a straight line.
Given the rule: (x,y) → (x + 3, y - 1) and A(-2,7) B(-6,8)
That means: A(x = -2, y =7) B(x = -6, y = 8)
Thus the translation will be:
A'(-2 +3, 7-1) B'(-6+3, 8-1) = A'(1, 6) B'(-3, 7)
Therefore, the coordinate of the image is A'(1, 6) B'(-3, 7)
Learn more about translation on:
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you multiply 35 to 72 to get 2520 and then multiply 23 to 94=2139 add both of the answers to get 4659
Answer:
2x³ + 11x² + 8x - 16
Step-by-step explanation:
Multiply:
(x + 4) (2x² +3x - 4)
2x³ + 3x² - 4x + 8x² + 12x - 16
Combine like terms:
2x³ + 11x² + 8x - 16
