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Find [tex]\( a_{34} \)[/tex] for the sequence [tex]\( a_n = 37 - 5n \)[/tex].

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GinnyAnswer
To find [tex]\( a_{34} \)[/tex] using the provided formula [tex]\( a_n = 37 - 5n \)[/tex]:

1. Identify the value of [tex]\( n \)[/tex]. In this case, [tex]\( n = 34 \)[/tex].

2. Substitute [tex]\( n = 34 \)[/tex] into the formula [tex]\( a_n = 37 - 5n \)[/tex]:

[tex]\[ a_{34} = 37 - 5(34) \][/tex]

3. Calculate the product inside the parentheses:

[tex]\[ 5 \times 34 = 170 \][/tex]

4. Substitute the product back into the equation:

[tex]\[ a_{34} = 37 - 170 \][/tex]

5. Perform the subtraction:

[tex]\[ a_{34} = 37 - 170 = -133 \][/tex]

Therefore, the value of [tex]\( a_{34} \)[/tex] is [tex]\( -133 \)[/tex].
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