Question

check whether 44 in a term of the ap , -7,-4,-1 or not​

Answer 1

Answer:

${ \large{ \pmb{ \sf{★Given... }}}}$

-7 , -4 , -1 are in AP

${ \large{ \pmb{ \sf{★To \: Find... }}}}$

Check that 44 is a term of AP

${ \large{ \pmb { \sf{★Formula \: used... }}}}$

$\boxed{ \sf{ a_{n} = a + (n - 1)d }}$

${ \large{ \pmb{ \sf{★Solution... }}}}$

Let's find common difference,

d = a2 - a1 = -4 - (-7) = -4 + 7 = 4

Now Taking,

• ${ \sf{a = - 7}}$
• ${ \sf{d = 3}}$
• ${ \sf{ a_{n} = 44}}$

Now Substitute the values in formula,

${ \implies{ \sf{44 = - 7 + (n - 1)3}}}$

$\: { \implies{ \sf{44 + 7 =3n - 3 }}}$

$\: { \implies{ \sf{51 = 3n - 3}}}$

$\: { \implies{ \sf{3n = 51 + 3}}}$

$\: { \implies{ \sf{3n = 54}}}$

$\: { \implies{ \sf{n = 18}}}$

So, 44 is the 18th term of given AP

${ \large{ \pmb{ \sf{★Final \: Answer... }}}}$

Hence, 44 is a term in given AP