Write an expression to describe a rule for the sequence. Then find the 100th term in the sequence. 3, 10, 17, 24, 31, 38, …

7n-4;696

Step-by-step explanation:

I look at it as having ordered pairs (1,3), (2,10), (3,17), etc

looks like the y's increase by 7 for every increase of 1 in the x's, so the slope = 7

thus y = 7x + b

plug in (1,3) > 3 = 7 + b or b = -4

y = 7x - 4

in sequence terms: termn = 7n - 4

term100 = 7(100)-4 = 696

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

happy to

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