Answered

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Which would be the explicit form of the sequence -3, 5, 13, 21, ...And what would the 25th term be ?

Which Would Be The Explicit Form Of The Sequence 3 5 13 21 And What Would The 25th Term Be class=

Sagot :

Answer

Explicit formula; an = -3 + (n-1)(8)

25th term = 189

Explanation:

Given the sequence

-3, 5, 13, 21 ....

The formula for calculating the nth term of the sequence is expressed as;

an = a + (n-1)d

a is the first term

n is the number of terms

d is the common difference

Given

a = -3

d = 5-(-3) = 13 - 5 = 8

Substitute the values into the formula

an = -3 + (n-1)*8

Hence the explicit formula is expressed as an = -3 + (n-1)(8)

To get the 25th term, you will substitute n = 25 into the explicit formula as shown;

a25 = -3 + (25-1)(8)

a25 = -3+(24)(8)

a25 = -3 + 192

a25 = 189

Hence the 25th term will be 189

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