Answer:
The sum of arithmetic series is - 2119 .
Step-by-step explanation:
Given as :
The first term of series = a = - 94
The 26th term of series = [tex]a_2_6[/tex] = - 69
The number of term = n = 26
Now, Let The sum of arithmetic series = [tex]s__n[/tex]
So, [tex]s__n[/tex] = [tex]\dfrac{n}{2}[/tex] × (First term + Last term)
Or, [tex]s_2_6[/tex] = [tex]\dfrac{26}{2}[/tex] × (a + [tex]a_2_6[/tex] )
or, [tex]s_2_6[/tex] = 13 × ( - 94 - 69 )
or, [tex]s_2_6[/tex] = 13 × ( - 163 )
or, [tex]s_2_6[/tex] = - 2119
or, the sum of 26 arithmetic series = [tex]s_2_6[/tex] = - 2119
Hence The sum of arithmetic series is - 2119 . Answer
