Mathematics: Tell me the answers and how you got the ansers

Tell me the answers and how you got the ansers

swelch2010

12.09.2020

Step-by-step explanation:

STEP 1 : determine whether the sequence is arithmetic or quadratic - so you can know what formula to use

$the \: sequence \: is \: arithmetic \: \\ 345 - 352 = - 7 \: and \: 352 - 359 = - 7 \\$

STEP 2 : fill in the arithmetic formula so you can use the formula to find the 38th term

$tn = a + (n - 1)d \\a = first \: term \\ d = the \: difference \\ n = the \: position \: of \: the \: nth \: term$

tn = 359 + (n - 1)( - 7)

so this is the formula you use to find the nth term which is 38

$t38 = 359 + (38 - 1) \times ( - 7) \\ t38= 100$

so the answer is 100

hope this helps!

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