First term ,a=4 , common difference =4-7=-3, n =50
sum of first 50terms= (50/2)[2×4+(50-1)(-3)]
=25×[8+49]×-3
=25×57×-3
=25× -171
= -42925
derivation of the formula for the sum of n terms
Progression, S
S=a1+a2+a3+a4+...+an
S=a1+(a1+d)+(a1+2d)+(a1+3d)+...+[a1+(n−1)d] → Equation (1)
S=an+an−1+an−2+an−3+...+a1
S=an+(an−d)+(an−2d)+(an−3d)+...+[an−(n−1)d] → Equation (2)
Add Equations (1) and (2)
2S=(a1+an)+(a1+an)+(a1+an)+(a1+an)+...+(a1+an)
2S=n(a1+an)
S=n/2(a1+an)
Substitute an = a1 + (n - 1)d to the above equation, we have
S=n/2{a1+[a1+(n−1)d]}
S=n/2[2a1+(n−1)d]
Answer:
The % increase in Jim's monthly payment = 19.36%
Step-by-step explanation:
The amount Jim was paying monthly on the first loan = $8.78
The amount he now pays monthly = $10.48
The increase in Jim's payment = $10.48 - $8.78
The increase in Jim's monthly payment = $1.7
The % increase in Jim's monthly payment = 1.7/8.78 * 100%
The % increase in Jim's monthly payment = 19.36%
The answer to this will be 3 1/8
3 1/4 – 1 7/8 = 3 1/8
7.19666667 and round it up if ur supposed to
Answer: y = -2
Step-by-step explanation: Because the line is horizontal, the slope is 0. So on a graph the line will cut through (5,-2), (4,-2), (3,-2), (2,-2), (1,-2), and (0,-2). The line can pass through any x value, but the y value will always stay the same for this line. This means the y-intercept is -2. Because the slope is 0 and the y-intercept is -2, the equation is y = 0x -2, but there is no value in keeping the 0. So, you take it out leaving you with y = -2.
Hope This Helps! Good Luck and Have a Great Night!
