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205, 201, 197,...

Find the 35th term.

Answer :

Answer:

the 35th term or a(35) is 69

Step-by-step explanation:

the first thing you must do to solve this equation is to write for the nth term

this is

a(n) = 209 - 4n

i got 209 by adding 4 to 205 to find the 0th term

so to solve the equation for the 35th term oyu just plug it in

a(35) = 209 - 4(35)

a(35) = 209 - 140

a(35) = 69

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Rewritten by : Barada

Final answer:

The 35th term of the sequence 205, 201, 197,... can be found using the formula for the nth term of an arithmetic sequence, where the first term is 205, the common difference is -4, and the term number is 35.

Explanation:

In this sequence, the common difference is found by subtracting the second term from the first one (201 - 205 = -4). This is an arithemetic sequence because the difference between any two consecutive terms is constant. Hence, since we know the first term and the common difference, we can express any term in this sequence using the formula for the nth term of an arithmetic sequence:

an = a1 + (n - 1) * d

where an is the nth term, a1 is the first term, d is the common difference, and n is the term number. Inserting our values into this formula, we get:

an = 205 + (35 - 1) * -4

Solving for an gives us the 35th term of the sequence.

Learn more about Arithmetic Sequence here:

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