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2 years ago

Find the nth term of this number sequence 7, 10, 13, 16, ... help please !!

Mathematics

2 answers:

LenKa [72]2 years ago

8 0

Answer:

$a_{n}$ = 3n + 4

Step-by-step explanation:

there is a common difference between consecutive terms , that is

10 - 7 = 13 - 10 = 16 - 13 = 3

this indicates the sequence is arithmetic with nth term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 7 and d = 3 , then

$a_{n}$ = 7 + 3(n - 1) = 7 + 3n - 3 = 3n + 4

Sindrei [870]2 years ago

5 0

Answer:

The nth term = 3n + 4.

Step-by-step explanation:

The formula for the nth term of an arithmetic progression is a(n) = dn + a(1) - d.

So this breaks down simply to,

a(n) = dn + a(1) - d a(n) = 3n + 7 - 3 a(n) = 3n + 4

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3 years ago

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3 years ago

Help please.................

olganol [36]

Answer:

(-4, 0) and (5/2, 0)

Step-by-step explanation:

if you graph the equation you can see where the curve intersects the x-axis or you can factor the equation into: (2x - 5)(x + 4) = 0

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2 years ago

What is the explicit formula for the sequence?

Aleksandr [31]

Answer:

$a_{n}$ = n - 2

Step-by-step explanation:

Note the difference between consecutive terms is constant, that is

0 - (- 1) = 0 + 1 = 1

1 - 0 = 1

2 - 1 = 1

3 - 2 = 1

This indicates the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 1 and d = 1, thus

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3 years ago