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Norma-Jean [14]
3 years ago
13

#3) PLEASE HELP WITH QUESTION, MARKING BRAINLIEST + POINTS :)

Mathematics
1 answer:
Taya2010 [7]3 years ago
3 0
\boxed { \boxed { a_n = a_1 + d(n - 1)}}

a_{14} = -33 , a_{15} = 9,

a_{14} =  a_1 + d(14 - 1) = -33
a_1 + 13d = -33

a_{15} = a_1 + d(15 - 1) = 9
a_1 + 14d = 9

So the two equations:
a_1 + 13d = -33 ----------------- ( 1 )
a_1 + 14d = 9     ----------------- ( 2 )

(2) - (1) :
d = 42  ----------------- (Sub into 1)

a_1 + 13(42) = -33
a_1 + 546= -33
a_1 = -33 - 546
a_1 = -579

\boxed { \boxed { a_n = -578 + 42(n - 1)}}




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