Problem

Use the formula for the general term (the nth term) of an arithmetic sequence to find the sixth term of the sequence with the given first term and common difference. \[ a_{1}=5 ; d=6 \] \[ a_{6}=\square \]

Solution

Step 1 :Given the first term \(a_{1} = 5\) and the common difference \(d = 6\) of an arithmetic sequence, we are asked to find the sixth term \(a_{6}\).

Step 2 :We use the formula for the nth term of an arithmetic sequence: \(a_{n} = a_{1} + (n-1) * d\).

Step 3 :Substitute the given values into the formula: \(a_{6} = 5 + (6-1) * 6\).

Step 4 :Simplify the expression to find the value of \(a_{6}\).

Step 5 :Final Answer: \(a_{6} = \boxed{35}\)

From Solvely APP
Source: https://solvelyapp.com/problems/h3Y78DM81e/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download