Question

please answer fast

Consider the arithmetic sequence 1,8,15,22.......

a) what is the common difference?

b) What will be the remainder when the terms are
divided by its common
difference ?

c) which is the first there digit term of this sequence?

d) with write the algebraic form of this sequence

e) How many terms are there below 100 in this sequence?​

Answer 1

Answer:

a) 7

b) the remainder will be the previous term

c) 16th term

d) tₙ = 7n-6

e) 15 terms

Step-by-step explanation:

a) 8-1 = 7

b) the remainder will be the previous term

c)

a=1, d = 7,

tₙ >99

a+(n-1)d >99

1 + (n-1)7>99

1+7n-7 > 99

7n > 99+6

7n > 105

n > 105/7

n > 15

16th term is the first 3 digit term

d) tₙ = a + (n-1)d

   tₙ = 1+(n-1)(7)

  tₙ = 1+7n-7

  tₙ = 7n-6

6) from question c, it is obvious that there are 15 terms below 100