Observe the following pattern:
1 + 3 = 22,
1 + 3 + 5 = 32,
1 + 3 + 5 + 7 = 42
a. Conjecture a generalization based on this pattern.
b. Based on the generalization in (a), find
1 + 3 + 5 + 7+ ... + 35.
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