Answer :
To find the [tex]\( 5^{\text{th}} \)[/tex] term in the sequence where the general term is given by [tex]\( n + 3 \)[/tex], we need to substitute [tex]\( n = 5 \)[/tex] into the formula. Here is the step-by-step solution:
1. Identify the general formula for the sequence. We are given that the term at position [tex]\( n \)[/tex] is [tex]\( n + 3 \)[/tex].
2. Determine the value of [tex]\( n \)[/tex] for the term we want to find. According to the question, we want the [tex]\( 5^{\text{th}} \)[/tex] term, so [tex]\( n = 5 \)[/tex].
3. Substitute [tex]\( n = 5 \)[/tex] into the general formula:
[tex]\[ 5 + 3 \][/tex]
4. Perform the arithmetic operation:
[tex]\[ 5 + 3 = 8 \][/tex]
5. Thus, the [tex]\( 5^{\text{th}} \)[/tex] term in the sequence is [tex]\( 8 \)[/tex].
Therefore, the [tex]\( 5^{\text{th}} \)[/tex] term in the sequence is [tex]\(\boxed{8}\)[/tex].
1. Identify the general formula for the sequence. We are given that the term at position [tex]\( n \)[/tex] is [tex]\( n + 3 \)[/tex].
2. Determine the value of [tex]\( n \)[/tex] for the term we want to find. According to the question, we want the [tex]\( 5^{\text{th}} \)[/tex] term, so [tex]\( n = 5 \)[/tex].
3. Substitute [tex]\( n = 5 \)[/tex] into the general formula:
[tex]\[ 5 + 3 \][/tex]
4. Perform the arithmetic operation:
[tex]\[ 5 + 3 = 8 \][/tex]
5. Thus, the [tex]\( 5^{\text{th}} \)[/tex] term in the sequence is [tex]\( 8 \)[/tex].
Therefore, the [tex]\( 5^{\text{th}} \)[/tex] term in the sequence is [tex]\(\boxed{8}\)[/tex].
