Question

Can I please have help finding the answer? I am really struggling!

Answer 1

Given: An AP whose first term is -20 and a common difference of 3.

Required: To determine the 119th term of the AP.

Step-by-step explanation: An AP with the first term, a, and with a common difference, d, is of the form-

`a,a+d,a+2d,...,a+(n-1)d`

where n is the number of terms in the AP.

The following formula gives the nth term of the AP-

`a_n=a+(n-1)d`

Here it is given that-

`\begin{gathered} a=-20 \\ d=3 \\ n=19 \end{gathered}`

Substituting these values into the formula for nth terms as-

`a_(19)=-20+(19-1)3`

Further solving-

`\begin{gathered} a_(19)=-20+54 \\ =34 \end{gathered}`

Final Answer: The 19th term of the AP is 34.