Question

Find the 60th term of the arithmetic sequence -10, 8, 26, ...

Answer 1

Answer:

• 60th term of the arithmetic sequence -10, 8, 26, ... is 1052

Step-by-step explanation:

• Comman difference = 26 - 8 = 18
• a = -10
• n = 60

$\longrightarrow \: \: a _{n } =a (n - 1)d$

$\longrightarrow \: \: a_{60} = - 10(60 - 1) \times 18$

$\longrightarrow \: \: a _{60}= - 10 +(59) \times 18$

$\longrightarrow \: \: a _{60}= - 10 + 1062$

$\longrightarrow \: \: a_{60}= 1052$

$\therefore$ 60th term of the arithmetic sequence -10, 8, 26, ... is 1052

Answer 2

Answer:
Sn=a+(n-1)d
n=60,a=-10,d=8-(-10)=8+10=18
S60=-10+(60-1)18
S60 =-10+(59)18
S60=-10+1062
S60 =1052