Answered

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Find the 12th term of the arithmetic sequence whose common difference is d = -7 and whose first term is a 1 = 30 .(Picture is more understandable)

Find The 12th Term Of The Arithmetic Sequence Whose Common Difference Is D 7 And Whose First Term Is A 1 30 Picture Is More Understandable class=

Sagot :

Answer:

T12 = -47

Explanations:

The nth term of an arithmetic sequence is expressed as:

[tex]T_n=a+(n-1)\cdot d[/tex]

where:

• a is the, first term

,

• n is the ,number of terms

,

• d is the ,common difference

Given the following parameters

a = 30

n = 12 (12th term)

d = -7 (common difference)

Substitute the given parameters into the formula

[tex]\begin{gathered} T_{12}=30+(12-1)\cdot(-7) \\ T_{12}=30+11(-7) \\ T_{12}=30-77 \\ T_{12}=-47 \end{gathered}[/tex]

Hence the 12th term of the arithmetic sequence is -47

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