Problem

If \( a_{1}=7 \) and \( a_{n}=a_{n-1}+1 \) then find the value of \( a_{6} \).

Answer

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Answer

\(a_6 = 11+1 = 12\)

Steps

Step 1 :\(a_1 = 7\)

Step 2 :\(a_n = a_{n-1} + 1 \)

Step 3 :\(a_6 = a_5 + 1\)

Step 4 :\(a_5 = a_4 + 1\)

Step 5 :\(a_4 = a_3 + 1\)

Step 6 :\(a_3 = a_2 + 1\)

Step 7 :\(a_2 = a_1 + 1\)

Step 8 :\(a_2 = 7+1 = 8\)

Step 9 :\(a_3 = 8+1 = 9\)

Step 10 :\(a_4 = 9+1 = 10\)

Step 11 :\(a_5 = 10+1 = 11\)

Step 12 :\(a_6 = 11+1 = 12\)

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