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Sequences and Strings. Let

`t`

be the sequence defined by

`t_(n)=2n-1,n>=1`

(a) Find

`\sum_(i=1)^3 t_(i)`

. (b) Find

`\sum_(i=3)^7 t_(i)`

. (c) Find

`prod_(i)=1^(3)t_(i)`

. (d) Find

`prod_(i)=3^(6)t_(i)`

. (e) Find a formula that represents this sequence as a sequence whose lower index is 0 . (f) Is

`t`

decreasing? (g) Is

`t`

increasing? (h) Is

`t`

nondecreasing? (i) Is

`t`

nonincreasing?