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Step-by-step explanation:
To find : Sum of A. P. ❓
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Given,
a = - 5
d = -8 + 5
= - 3
an = - 230
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First Find : Number of Terms
=> an = a+ (n-1)d
=> - 230 = - 5 + (n-1)-3
=> - 230 + 5 = - 3n + 3
=> - 225 - 3 = 3n
=> 3n = 228
=> n = 76
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Now we find Sum
=> Sn = n/2 [2a + (n-1) d]
=> Sn = 76/2 [ 2x(-5) + (76-1) (-3)]
=> Sn = 38 x [ - 10 - 225]
=> Sn = - 8930
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