The nth term in a pattern is 2n2+5. What is the difference between 6th

Question

The

n^{t h}

term in a pattern is

2 n^{2} + 5

. What is the difference between

6^{t h}

and

4^{t h}

terms in the pattern? [3 MARKS]

Answer:
:

6^{t h}

: 1 Mark

4^{t h}

: 1 Mark
Answer: 1 Mark
Given that,

n^{t h}

term is

2 n^{2} + 5

Therefore,

6^{t h} t e r m = 2 \times 6^{2} + 5

2 \times 36 + 5 = 77

4^{t h} t e r m = 2 \times 4^{2} + 5

2 \times 16 + 5 = 32 + 5 = 37

Difference

= 77 - 37 = 40.

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