Instructions: For the following sequence, state the common difference, identify which is the explicit form and which is the recursive form of the rule, and find the term listed. Sequence: −9,−14,−19,−24,…

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Step-by-step explanation:

A.P. -9,-14,-19,-24

first term (a) = -9

common difference of the A.P. (d) = -14 - (-9)

                                                        = -14 + 9

                                                        = -5

an = a + (n-1) d

here we find a30 and a20

so for 30th term

a30 = a+ (20-1) d

= -9 + (19) (-5)

= -9 -95

= -104

so

a30 - a20 = -154 - (-104)

= -154 + 104

= -50

therefore for the given A.P a30 - a20 = -50