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Step-by-step explanation:

There is a common difference d in the values, that is

9 - 5 = 13 - 9 = 17 - 13 = 21- 17 = 4

To obtain a term in the sequence add 4 to the previous term, thus

t₉ = t₈ + 4 → C

(b)

Given the n th term formula 3n - 8

To find any term, substitute the term position n into the formula

(i) first term (n = 1), then

3(1) - 8 = 3 - 8 = - 5

(ii) tenth term (n = 10, then

3(10) - 8 = 30 - 8 = 22

(iii) 100 th term ( n = 100), then

3(100) - 8 = 300 - 8 = 292

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl