Find the 20th term of the following sequence.

-6, -4, -2, 0,

32

Step-by-step explanation:

The sequence is an arithmetic sequence because there is a common difference , which is 2.

The formula for finding nth term of an arithmetic sequence is given as :

=

where :

a = first term

d = common difference

n = number of terms

Therefore : the 20th term will be :

=

=

= - 6 + 19(2)

= -6 + 38

= 32

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

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step-by-step explanation:

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