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alina1380
1 month ago
14

Find 26th term in the arithmetic sequence: -15,-35,-55,-75,...

Mathematics
2 answers:
Leona [12.6K]1 month ago
6 0

Answer:

Step-by-step explanation:

hello:

-75-(-55) equals (-55)-(-35) equals (-35)-(-15) results in -20

the difference in ratio is: d=-20

the nth term formula is: An=A1+(n-1)d with A1 =-15

An=-15+(n-1)(-20) translates to 15-20n+20

An = -20n+5

For the 26th term: n=26 corresponds to A26 = -20(26)+5 which results in -515

A26= -515

AnnZ [12.3K]1 month ago
5 0

Answer:

-515

Step-by-step explanation:

The first term is -15, with every subsequent term being 20 units lower.

Upon substituting these values into the earlier equation, we find:

By adding together 25 instances of 20, or 25 x 20 = 500, we calculate -15 - 500 = -515.

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