⎩⎪ ⎨ ⎪ ⎧ h(1)=−75 h(n)=h(n−1)−10 find an explicit formula for h(n) h(n)=

the explicit formula for h(n) is, -65-10n

Step-by-step explanation:

Given that:

h(1) = -75

h(n) = h(n-1)-10              ......[1]

Put n =2 in [1] we have;

Similarly for n = 3

and so on...

The series we get;

This is an arithmetic sequence series with common difference(d) = -10

Since,

-85-(-75) = -85+75 = -10,

-95-(-85) = -95+85 = -10 and so on

First term(a) = -75

the Explicit formula for arithmetic sequence is given by:

where a is the first term,

d is the common difference and

n is the number of terms.

We have to find the explicit formula for h(n);

Substitute the given values we have;

or

Therefore, the explicit formula for h(n) is, -65-10n

70

step-by-step explanation:

2*5=10

4*15=60

60+10=

70

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