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Find the 77th term of the arithmetic sequence 8,26,44, …

Sagot :

Step 1: Write out the formula for the nth term of an arithmetic sequence

[tex]U_n=a+(n-1)d[/tex]

Step 2: Find a and d and substitute them into the formula

[tex]\begin{gathered} a=8 \\ d=U_2-U_1 \\ d=26-8=18 \\ Un=8+(n-1)18 \end{gathered}[/tex]

Step 3: find the 77th term

[tex]\begin{gathered} U_{77}=8+(77-1)18 \\ =8+(76)18 \\ =8+1368 \\ U_{77}=1376 \end{gathered}[/tex]

Hence, the 77th term is 1376

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