If A1 = 1, an = - 152 and the sum of the first n terms is Sn = - 341, then the common ratio q =? Number of terms =?

If A1 = 1, an = - 152 and the sum of the first n terms is Sn = - 341, then the common ratio q =? Number of terms =?

a1=1
an=a1*q^(n-1)=q^(n-1)=-152
Sn=a1*(1-q^n)/(1-q)=(1-q^n)/(1-q)=-341
Q ^ n = q ^ (n-1) * q = - 152q, which is substituted into the above Sn expression
Then, (1 + 152q) / (1-Q) = - 341
1+152q=341q-341
189q=342
q=38/21
The calculation results show that the data given by the title is wrong. If q is a positive number and A1 = 1 is a positive number, then every item of an must be a positive number. It is impossible to have an = - 152 and Sn = - 341