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But perhaps the problem allows non-integer? No.
Alternative: maybe first 10 terms? No, not stated.
After rechecking, realize: perhaps the common difference is -3? But problem says increases.
Given confusion, but original problem likely intends a solvable quadratic.
Perhaps I misread: sum is 420 — maybe its 455?
Or perhaps the first term is 10? But stated 5.
Given issue, but to provide answer, assume the quadratic is correct and round? But not valid.
Alternatively, perhaps the sum is over a different sequence.
But in the context, maybe the answer is not integer? But unlikely.
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