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5 votes
-18,-13,-8,-3,....

Find the above sequential formula

User Bing
by
5.5k points

1 Answer

2 votes

The first term (a) is - 18

You add 5 to get to the next term. Or you can solve it by taking any 2 consecutive terms and find their difference.

Formula

d = t4- t3

Givens

t4 = - 3

t3 = - 8

Solution 1

d = t4 - t3 Substitute

d = -3 - ( - 8) Remove the brackets

d = -3 + 8 Combine

d = 5 Difference

Remark

Find the general formula

tn = - a + (n - 1)d Substitute

So term 20 = Example

t20 = -18 + (20 - 1)*5 Combine the inside of the brackets. Remove the brackets

t20 = - 18 + 19*5 Combine 19 and 5

t20 = -18 + 95 "Subtract"

t20 = 77 Answer

User Mark Heath
by
5.0k points