What is the 20th term of the linear sequence?

1,7,13,19,25

We are required to find the 20th term of the linear sequence.

The 20th term of the linear sequence 1,7,13,19,25 is 115

Given:

1, 7, 13, 19, 25

nth term = a + (n - 1)d

where,

n = number of terms

= 20

a = first term

= 1

d = common difference = 7 - 1

= 6

So,

nth term = a + (n - 1)d

20th term = 1 + (20 - 1)6

= 1 + (19)6

= 1 + 114

= 115

20th term = 115

Therefore, 20th term of the linear sequence 1,7,13,19,25 is 115

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115

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 7 - 1 = 13 - 7 = 19 - 13 = 25 - 19 = 6

This indicates the sequence is arithmetic with n th term

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = 6 , thus

a₂₀ = 1 + (19 × 6) = 1 + 114 = 115

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

can you put the picture up?

step-by-step explanation: