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r = 1/2
S7 = a (1+r^n) / 1 + r
= 10 (1+1/2^7) / 1 + 1/2
= 10 (1+1/128) / 3/2
= 10 (129/128) / 3/2
1290 / 128 per 3/2
= 430/64 = 215 /32