3 years ago

Need help asap please

Mathematics

1 answer:

Volgvan3 years ago

3 0

Answer:

Tn= -2n +29

Step-by-step explanation:

The terms decreases by 2 from the previous term. Hence they have a common difference of -2.

Tn= a +d(n-1), where a is the 1st term and d is the common difference.

When d= -2, a=27,

Tn= 27 -2(n-1)

Tn= 27 -2(n) -2(-1) (expand)

Tn= 27 -2n +2

Tn= -2n +29 (simplify)

Let's check!

When n=3,

T₃= -2(3) +29

T₃= 29 -6 (expand)

T₃= 23 (simplify)

✓ This is correct as the 3rd term in the sequence is 23.

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