"act" the 3rd and 4th terms of an arithmetic sequence are 13 and 18 respectively what is the 50th term of the sequence

Answer:50th term is 248Step-by-step explanation:the formula for nth term of arithmetic sequence is[tex]a_n = a+(n-1) d[/tex]'a' is the first term and d is the constant differencen is the  nth term3rd term of arithmetic sequence is 13Now we plug in 3 for n  in the formula [tex]a_3 = a+(3-1) d[/tex][tex]13 = a+2d[/tex] --------> equation 1 Given 4th term is 18The difference between 3rd and 4th term is common difference 'd'18 - 13 = 5so d= 5Now we plug in 5 for 'd' in [tex]13 = a+2d[/tex][tex]13 = a+2(5)[/tex]13= a+ 10subtract 10 from both sidesa= 3We know a=3, d= 5  Lets find 50th term[tex]a_n = a+(n-1) d[/tex][tex]a_{50} = 3+(50-1)5[/tex][tex]a_{50} = 248[/tex]