JB Sequence Formulae Flashcards

1
Q

nth term in AP

A

a + (n-1)d

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2
Q

sum of n terms in AP

A

(n/2) x (first term + last term)
or
(n/2) x (2a + [n-1]d)

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3
Q

number of terms b/w 5 and 9

A

last - first - 1
= 9 - 5 -1
= 3

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4
Q

number of terms b/w 5 and 9, inclusive

A

last - first + 1
= 9 - 5 + 1
= 5

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5
Q

number of terms from 5 to 9

A

last - first + 1
= 9 - 5 + 1
= 5

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6
Q

number of terms from 5 to 9, exclusive

A

last - first - 1
= 9 - 5 -1
= 3

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7
Q

nth term in GP

A

a x r^(n-1)

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8
Q

Sum of n terms in GP

A

a x ([1- r^n] / [1 - r])

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9
Q

Sum of n terms in HP

A

(middle term) x n

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