The nth term of a sequence is 3n+2

a) work outh the first three terms of the sequence

b) work out the tenth term of the sequence

An arithmetic sequence is a set of numbers with a common difference.

Given

The first three terms

When

When

When

So, the first three terms are 4, 7 and 10

The tenth term

When , we have:

Hence, the tenth term is 31

Read more about sequence at:

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see explanation

Step-by-step explanation:

Given the n th term formula.

To find the first 3 terms substitute n = 1, 2, 3 into the formula

(a)

= (3 × 1) + 2 = 3 + 2 = 5

= (3 × 2) + 2 = 6 + 2 = 8

= (3 × 3) + 2 = 9 + 2 = 11

The first three terms are 5, 8, 11

(b)

Substitute n = 10 into the formula

= (3 × 10) + 2 = 30 + 2 = 32

The tenth term is 32

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)