Answer:
[tex]\bold{a_n=17n+46}\\\\\bold{a_{50}=896}[/tex]
Step-by-step explanation:
−29, −12, 5, 22, ...
-12-(-29) = 17; 5-(-12) = 17; 22-5 = 17 ⇒ d = 17
first term: a = -29
difference: d = 17
so the formula:
[tex]a_n=a+d(n-1)\\\\a_n=-29+17(n-1)\\\\a_n =-29+17n-17\\\\\underline{a_n=17n+46}[/tex]
and:
[tex]a_{50}=17\cdot50+46=850+46 = 896[/tex]
